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Goût pour les jeux vidéo et goût pour le sport sont souvent opposés : en termes de types d’activités (les premiers d’intérieur, passifs, peu propices à la socialisation, le second de dépense physique, de plein air, bon pour la santé, etc.) ; en termes de genre : les garçons seraient les plus « touchés » par le monde virtuel ; enfin en termes de « politique », la consommation des jeux vidéo étant opposée aux « vraies » pratiques culturelles… Une analyse secondaire de l’enquête sur les loisirs culturels des 6-14 ans fournit un éclairage précis sur la façon dont pratiques numériques virtuelles et pratiques réelles s’opposent, se substituent ou s’articulent : elle met à jour les ressorts qui sont communs aux goûts pour les deux types d’activité et révèle une forte dimension identitaire. Elle met également en évidence la permanence des déterminants sexués en matière de loisirs. La comparaison des interactions qui se nouent dans le monde réel avec les interactions virtuelles qui caractérisent les jeux vidéo dessine de nouvelles approches des phénomènes d’identification affective dans ces derniers. L’importance accordée à l’esthétique des corps virtuels pourrait ainsi être rapprochée de celle prise par l’apparence corporelle dans la construction identitaire des jeunes. Loin de constituer une pratique virtuelle séparée du reste de leur vie, qui serait porteuse d’addiction ou de comportements violents, les jeux vidéo prennent place dans une élaboration de soi à la fois personnelle et sociale qui facilite l’identification à un genre sexué et à un univers culturel. Contrasts are often drawn between the liking for video games and the liking for sport. First, as regards the kind of activity: one passive, indoors, cut off from others; the other physically active, outdoor, healthy, etc. Second, as regards gender: boys are considered to be more allured by the virtual dimension.Third, as regards policy: video game playing is often set against “real” cultural practices. A more…
Sociology --- jeux vidéo --- pratiques culturelles --- adolescence --- sport --- déterminant sexué --- construction identitaire --- cultural participation --- computer games
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This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact
early childhood caries --- prevalence --- policy --- structural determinant --- elimination --- sustainable development goal
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Biotransformation has accompanied mankind since the Neolithic community, when people settled down and began to engage in agriculture. Modern biocatalysis started in the mid-1850s with the pioneer works of Pasteur. Today, biotransformations have become an indispensable part of our lives, similar to other hi-tech products. Now, in 2019, biocatalysis “received” the Nobel Prize in Chemistry due to prof. Frances H. Arnold’s achievements in the area of the directed evolution of enzymes. This book deals with some major topics of biotransformation, such as the application of enzymatic methods in glycobiology, including the synthesis of hyaluronan, complex glycoconjugates of N-acetylmuramic acid, and the enzymatic deglycosylation of rutin. Enzymatic redox reactions were exemplified by the enzymatic synthesis of indigo from indole, oxidations of β-ketoesters and the engineering of a horse radish peroxidase. The enzymatic reactions were elegantly employed in biosensors, such as glucose oxidase, in the case of electrochemical glucose sensors. Nitrilases are important enzymes for nitrile metabolism in plants and microorganisms have already found broad application in industry—here, these enzymes were for the first time described in Basidiomyceta. This book nicely describes molecular biocatalysis as a pluripotent methodology—“A jack of all trades...”—which strongly contributes to the high quality and sustainability of our daily lives.
AIRS --- MERRA-2 --- ozone --- trend --- spatial and temporal O3 --- cultivars --- EDU (ethylenediurea) --- grain yield --- India --- wheat --- Crown defoliation --- drought --- Gross Primary Production --- modified Temperature Vegetation Wetness Index --- MODIS --- Soil Moisture --- chlorophyll fluorescence --- elevated O3 --- N limitation --- non-photochemical quenching --- photodamage --- allometric relationship --- determinant species --- leaf aging --- stomatal conductance --- ozone uptake --- Vitis vinifera --- open top chambers --- ozone damage metrics --- wine quality --- air pollution --- carbon dioxide --- ethylenediurea --- gross primary production --- plant protection --- tropospheric ozone --- plant ecosystems
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This volume is a collection of investigations involving the theory and applications of the various tools and techniques of mathematical analysis and analytic number theory, which are remarkably widespread in many diverse areas of the mathematical, biological, physical, chemical, engineering, and statistical sciences. It contains invited and welcome original as well as review-cum-expository research articles dealing with recent and new developments on the topics of mathematical analysis and analytic number theory as well as their multidisciplinary applications.
subordination --- functions with positive real part --- reciprocals --- univalent functions --- starlikeness --- convexity --- close-to-convexity --- hyper-Bessel functions --- Hardy space --- distribution --- fractional Laplacian --- Riesz fractional derivative --- delta sequence --- convolution --- subordinations --- starlike functions --- convex functions --- close-to-convex functions --- cardioid domain --- Hankel determinant --- m-fold symmetric functions --- harmonic univalent functions --- with symmetric conjecture point --- integral expressions --- coefficient estimates --- distortion --- umbral methods --- harmonic numbers --- special functions --- integral representations --- laplace and other integral transforms --- analytic functions --- quasi-Hadamard --- differential operator --- closure property --- riemann zeta function --- asymptotics --- exponential sums --- multivalent functions --- q-Ruschweyh differential operator --- q-starlike functions --- circular domain --- q-Bernardi integral operator --- Bessel functions --- Appell–Bessel functions --- generating functions --- Chebyshev polynomials --- Euler sums --- Catalan’s constant --- Trigamma function --- integral representation --- closed form --- ArcTan and ArcTanh functions --- partial fractions --- Lambert series --- cotangent sum --- modular transformation --- Dedekind sum --- lemniscate of Bernoulli Hankel determinant --- determinant --- inverse --- Mersenne number --- periodic tridiagonal Toeplitz matrix --- Sherman-Morrison-Woodbury formula --- Fibonacci number --- Lucas number --- Toeplitz matrix --- Hankel matrix --- univalent function --- second Hankel determinant --- bi-close-to-convex functions --- gamma function and its extension --- Pochhammer symbol and its extensions --- hypergeometric function and its extensions --- τ-Gauss hypergeometric function and its extensions --- τ-Kummer hypergeometric function --- Fox-Wright function --- p-valent analytic function --- Hadamard product --- q-integral operator --- generalized Lupaş operators --- q analogue --- Korovkin’s type theorem --- convergence theorems --- Voronovskaya type theorem --- starlike function --- subordinate --- Janowski functions --- conic domain --- q-convex functions --- q-close-to-convex functions --- theta-function identities --- multivariable R-functions --- Jacobi’s triple-product identity --- Ramanujan’s theta functions --- q-product identities --- Euler’s pentagonal number theorem --- Rogers-Ramanujan continued fraction --- Rogers-Ramanujan identities --- combinatorial partition-theoretic identities --- Schur’s, the Göllnitz-Gordon’s and the Göllnitz’s partition identities --- Schur’s second partition theorem
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For the 250th birthday of Joseph Fourier, born in 1768 in Auxerre, France, this MDPI Special Issue will explore modern topics related to Fourier Analysis and Heat Equation. Modern developments of Fourier analysis during the 20th century have explored generalizations of Fourier and Fourier–Plancherel formula for non-commutative harmonic analysis, applied to locally-compact, non-Abelian groups. In parallel, the theory of coherent states and wavelets has been generalized over Lie groups. One should add the developments, over the last 30 years, of the applications of harmonic analysis to the description of the fascinating world of aperiodic structures in condensed matter physics. The notions of model sets, introduced by Y. Meyer, and of almost periodic functions, have revealed themselves to be extremely fruitful in this domain of natural sciences. The name of Joseph Fourier is also inseparable from the study of the mathematics of heat. Modern research on heat equations explores the extension of the classical diffusion equation on Riemannian, sub-Riemannian manifolds, and Lie groups. In parallel, in geometric mechanics, Jean-Marie Souriau interpreted the temperature vector of Planck as a space-time vector, obtaining, in this way, a phenomenological model of continuous media, which presents some interesting properties. One last comment concerns the fundamental contributions of Fourier analysis to quantum physics: Quantum mechanics and quantum field theory. The content of this Special Issue will highlight papers exploring non-commutative Fourier harmonic analysis, spectral properties of aperiodic order, the hypoelliptic heat equation, and the relativistic heat equation in the context of Information Theory and Geometric Science of Information.
signal processing --- thermodynamics --- heat pulse experiments --- quantum mechanics --- variational formulation --- Wigner function --- nonholonomic constraints --- thermal expansion --- homogeneous spaces --- irreversible processes --- time-slicing --- affine group --- Fourier analysis --- non-equilibrium processes --- harmonic analysis on abstract space --- pseudo-temperature --- stochastic differential equations --- fourier transform --- Lie Groups --- higher order thermodynamics --- short-time propagators --- discrete thermodynamic systems --- metrics --- heat equation on manifolds and Lie Groups --- special functions --- poly-symplectic manifold --- non-Fourier heat conduction --- homogeneous manifold --- non-equivariant cohomology --- Souriau-Fisher metric --- Weyl quantization --- dynamical systems --- symplectization --- Weyl-Heisenberg group --- Guyer-Krumhansl equation --- rigged Hilbert spaces --- Lévy processes --- Born–Jordan quantization --- discrete multivariate sine transforms --- continuum thermodynamic systems --- interconnection --- rigid body motions --- covariant integral quantization --- cubature formulas --- Lie group machine learning --- nonequilibrium thermodynamics --- Van Vleck determinant --- Lie groups thermodynamics --- partial differential equations --- orthogonal polynomials
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Polynomials play a crucial role in many areas of mathematics including algebra, analysis, number theory, and probability theory. They also appear in physics, chemistry, and economics. Especially extensively studied are certain infinite families of polynomials. Here, we only mention some examples: Bernoulli, Euler, Gegenbauer, trigonometric, and orthogonal polynomials and their generalizations. There are several approaches to these classical mathematical objects. This Special Issue presents nine high quality research papers by leading researchers in this field. I hope the reading of this work will be useful for the new generation of mathematicians and for experienced researchers as well
Shivley’s matrix polynomials --- Generating matrix functions --- Matrix recurrence relations --- summation formula --- Operational representations --- Euler polynomials --- higher degree equations --- degenerate Euler numbers and polynomials --- degenerate q-Euler numbers and polynomials --- degenerate Carlitz-type (p, q)-Euler numbers and polynomials --- 2D q-Appell polynomials --- twice-iterated 2D q-Appell polynomials --- determinant expressions --- recurrence relations --- 2D q-Bernoulli polynomials --- 2D q-Euler polynomials --- 2D q-Genocchi polynomials --- Apostol type Bernoulli --- Euler and Genocchi polynomials --- Euler numbers and polynomials --- Carlitz-type degenerate (p,q)-Euler numbers and polynomials --- Carlitz-type higher-order degenerate (p,q)-Euler numbers and polynomials --- symmetric identities --- (p, q)-cosine Bernoulli polynomials --- (p, q)-sine Bernoulli polynomials --- (p, q)-numbers --- (p, q)-trigonometric functions --- Bernstein operators --- rate of approximation --- Voronovskaja type asymptotic formula --- q-cosine Euler polynomials --- q-sine Euler polynomials --- q-trigonometric function --- q-exponential function --- multiquadric --- radial basis function --- radial polynomials --- the shape parameter --- meshless --- Kansa method
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In recent years, various families of fractional-order integral and derivative operators, such as those named after Riemann-Liouville, Weyl, Hadamard, Grunwald-Letnikov, Riesz, Erdelyi-Kober, Liouville-Caputo, and so on, have been found to be remarkably important and fruitful, due mainly to their demonstrated applications in numerous seemingly diverse and widespread areas of the mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide interesting, potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables. For this Special Issue, we invite and welcome review, expository, and original research articles dealing with the recent advances in the theory of fractional-order integral and derivative operators and their multidisciplinary applications.
Legendre wavelet --- operational matrix --- systems of fractional order differential equations --- Liouville_Caputo sense --- analytic functions --- starlike functions --- univalent functions --- length problems --- SIR model --- Hermite collocation method --- approximate solution --- Hermite polynomials and series --- collocation points --- starlike and q-starlike functions --- q-derivative operator --- q-hypergeometric functions --- conic and generalized conic domains --- Hankel determinant --- Toeplitz matrices --- fractional differential equations --- Riemann-stieltjes integral --- monotone iterative method --- upper and lower solutions --- fractional diffusion equation --- controllability --- impulsive system --- unique continuation property --- non-linear fractional variational problems --- orthogonal polynomials --- Rayleigh-Ritz method --- error analysis --- convergence analysis --- Banach space --- Sobolev space --- Laplace operators --- nonlocal boundary conditions --- fractional differential systems --- mixed Riemann–Liouville integral --- mixed Hadamard integral --- Hilfer derivative --- Hadamard derivative --- coupled system --- random solution --- variable order fractional derivative --- initial value problem --- piecewise constant functions --- starlike function --- Toeplitz determinant --- sine function --- upper bound --- convex functions --- subordination --- logarithmic coefficients --- Gauss hypergeometric function --- confluent hypergeometric function --- Appell’s functions --- incomplete fractional calculus --- Riemann-Liouville fractional integral --- generating functions --- fractional integrals --- fractional derivatives --- Mittag–Leffler functions --- field spectrum --- fractional calculus --- desert soil --- available potassium --- correlation analysis --- Post-Exposure Prophylaxis --- latent reservoir --- HIV infection --- fractional order model --- multivalent functions --- close-to-convex functions --- uniformly starlike functions --- uniformly close-to-convex functions --- conic domains --- q-calculus --- differential subordination --- Janowski function --- cardioid domain --- limacon domain --- fractional order unknown input fuzzy observer --- fractional order Takagi–Sugeno models --- L2 optimization --- linear matrix inequalities --- unmeasurable premise variables --- global solutions --- fractional in time and space shallow-water system --- ψ-Caputo fractional derivative --- Hilfer fractional derivative --- Ulam stability --- pantograph differential equation --- nonlocal integral condition --- Miura transform --- soliton equations --- logarithm --- n/a --- mixed Riemann-Liouville integral --- Appell's functions --- Mittag-Leffler functions --- fractional order Takagi-Sugeno models
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This volume consists of a collection of 14 accepted submissions (including several invited feature articles) to the Special Issue of MDPI's journal Symmetry on the general subject area of integral transformations, operational calculus and their applications from many different parts around the world. The main objective of the Special Issue was to gather review, expository, and original research articles dealing with the state-of-the-art advances in integral transformations and operational calculus as well as their multidisciplinary applications, together with some relevance to the aspect of symmetry. Various families of fractional-order integrals and derivatives have been found to be remarkably important and fruitful, mainly due to their demonstrated applications in numerous diverse and widespread areas of mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables.
Stancu-type Bernstein operators --- Bézier bases --- Voronovskaja-type theorems --- modulus of continuity --- rate of convergence --- bivariate operators --- approximation properties --- statistical convergence --- P-convergent --- statistically and relatively modular deferred-weighted summability --- relatively modular deferred-weighted statistical convergence --- Korovkin-type approximation theorem --- modular space --- convex space --- N-quasi convex modular --- N-quasi semi-convex modular --- vehicle collaborative content downloading --- fuzzy comprehensive evaluation --- VANET --- delay differential equations --- integral operator --- periodic solutions --- subordinations --- exponential function --- Hankel determinant --- fractional differential equations with input --- Mittag-Leffler stability --- left generalized fractional derivative --- ρ-Laplace transforms --- functional integral equations --- Banach algebra --- fixed point theorem --- measure of noncompactness --- Geometric Function Theory --- q-integral operator --- q-starlike functions of complex order --- q-convex functions of complex order --- (δ,q)-neighborhood --- meromorphic multivalent starlike functions --- subordination --- univalent function --- symmetric differential operator --- unit disk --- analytic function --- analytic functions --- conic region --- Hadamard product --- differential subordination --- differential superordination --- generalized fractional differintegral operator --- Convex function --- Simpson’s rule --- differentiable function --- weights --- positive integral operators --- convolution operators --- n/a --- Bézier bases --- Simpson's rule
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Dual diagnosis --- Mental health personnel --- Education --- Comorbidity --- Psychiatry --- Mental Disorders --- Substance-Related Disorders --- Epidemiologic Factors --- Psychiatry and Psychology --- Behavioral Sciences --- Diseases --- Anthropology, Education, Sociology and Social Phenomena --- Medicine --- Quality of Health Care --- Health Occupations --- Behavioral Disciplines and Activities --- Public Health --- Health Care Quality, Access, and Evaluation --- Disciplines and Occupations --- Environment and Public Health --- Health Care --- Substance Abuse Disorders --- Health & Biological Sciences --- Treatment --- Study and teaching --- Evaluation --- Care --- Patients --- Training of --- Community-Based Distribution --- Contraceptive Distribution --- Delivery of Healthcare --- Dental Care Delivery --- Distribution, Non-Clinical --- Distribution, Nonclinical --- Distributional Activities --- Healthcare --- Healthcare Delivery --- Healthcare Systems --- Non-Clinical Distribution --- Nonclinical Distribution --- Delivery of Dental Care --- Health Care Delivery --- Health Care Systems --- Activities, Distributional --- Activity, Distributional --- Care, Health --- Community Based Distribution --- Community-Based Distributions --- Contraceptive Distributions --- Deliveries, Healthcare --- Delivery, Dental Care --- Delivery, Health Care --- Delivery, Healthcare --- Distribution, Community-Based --- Distribution, Contraceptive --- Distribution, Non Clinical --- Distributional Activity --- Distributions, Community-Based --- Distributions, Contraceptive --- Distributions, Non-Clinical --- Distributions, Nonclinical --- Health Care System --- Healthcare Deliveries --- Healthcare System --- Non Clinical Distribution --- Non-Clinical Distributions --- Nonclinical Distributions --- System, Health Care --- System, Healthcare --- Systems, Health Care --- Systems, Healthcare --- Healthcare Quality, Access, and Evaluation --- Environment, Preventive Medicine & Public Health --- Environment, Preventive Medicine and Public Health --- Health, Public --- Health Professions --- Health Occupation --- Health Profession --- Occupation, Health --- Occupations, Health --- Profession, Health --- Professions, Health --- Quality of Care --- Quality of Healthcare --- Care Qualities --- Care Quality --- Health Care Quality --- Healthcare Quality --- Medical Specialities --- Medical Specialties --- Medical Specialty --- Specialities, Medical --- Specialties, Medical --- Specialty, Medical --- Medical Speciality --- Speciality, Medical --- Proxemics --- Behavioral Science --- Proxemic --- Science, Behavioral --- Sciences, Behavioral --- Determinant, Epidemiologic --- Determinants, Epidemiologic --- Epidemiologic Determinant --- Epidemiologic Factor --- Factor, Epidemiologic --- Factors, Epidemiologic --- Epidemiologic Determinants --- Substance Addiction --- Drug Abuse --- Drug Addiction --- Drug Dependence --- Drug Habituation --- Drug Use Disorders --- Organic Mental Disorders, Substance-Induced --- Substance Abuse --- Substance Dependence --- Substance Use Disorders --- Abuse, Drug --- Abuse, Substance --- Abuses, Substance --- Addiction, Drug --- Addiction, Substance --- Dependence, Drug --- Dependence, Substance --- Disorder, Drug Use --- Disorder, Substance Use --- Drug Use Disorder --- Habituation, Drug --- Organic Mental Disorders, Substance Induced --- Substance Abuses --- Substance Use Disorder --- Behavior Disorders --- Diagnosis, Psychiatric --- Mental Disorders, Severe --- Psychiatric Diagnosis --- Disorder, Mental --- Disorder, Severe Mental --- Disorders, Behavior --- Disorders, Mental --- Disorders, Severe Mental --- Mental Disorder --- Mental Disorder, Severe --- Severe Mental Disorder --- Severe Mental Disorders --- Psychiatrists --- Psychiatrist --- Multimorbidity --- Comorbidities --- Multimorbidities --- Activities, Educational --- Educational Activities --- Workshops --- Literacy Programs --- Training Programs --- Activity, Educational --- Educational Activity --- Literacy Program --- Program, Literacy --- Program, Training --- Programs, Literacy --- Programs, Training --- Training Program --- Workshop --- Students --- Psychiatric personnel --- Alcoholism and mental illness --- Dual disorders --- Mental illness and alcoholism --- Mental illness and substance abuse --- education --- Community Health --- Health, Community --- Preventive Medicine --- Education, Public Health Professional --- Occupations --- Pharmacy Audit --- Audit, Pharmacy --- Pharmacy Audits --- Prescription Drug Abuse --- Abuse, Prescription Drug --- Drug Abuse, Prescription --- Drug and Narcotic Control --- Disruptive, Impulse Control, and Conduct Disorders --- Psychoses, Alcoholic --- Social Problems --- Street Drugs --- Designer Drugs --- Behavior, Addictive --- Codependency (Psychology) --- Alcohol-Related Disorders --- Prescription Drug Misuse --- Mentally Ill Persons --- Medical personnel --- Mental illness --- Substance abuse --- Health Workforce --- Illicit Drugs --- Codependency, Psychological --- Psychiatric Diseases --- Psychiatric Disorders --- Psychiatric Illness --- Psychiatric Disease --- Psychiatric Disorder --- Psychiatric Illnesses --- Chemical Dependence --- Substance Use --- Chemical Dependences --- Dependence, Chemical --- Dependences, Chemical --- Substance Uses --- Use, Substance --- Mental Illness --- Illness, Mental --- Mental Illnesses --- Substance Related Disorder --- Disorder, Substance Related --- Disorders, Substance Related --- Related Disorder, Substance --- Related Disorders, Substance --- United States. --- Evaluation. --- U.S. Navy --- Psychology --- Factors, Psychological --- Psychological Factors --- Psychological Side Effects --- Psychologists --- Psychosocial Factors --- Side Effects, Psychological --- Factor, Psychological --- Factor, Psychosocial --- Factors, Psychosocial --- Psychological Factor --- Psychological Side Effect --- Psychologist --- Psychosocial Factor --- Side Effect, Psychological --- Education. --- Comorbidity. --- Psychiatry. --- Mental Disorders. --- Substance-Related Disorders. --- Epidemiologic Factors. --- Psychology. --- Behavioral Sciences. --- Disease. --- Medicine. --- Quality of Health Care. --- Health Occupations. --- Behavioral Disciplines and Activities. --- Public Health. --- Health Care Quality, Access, and Evaluation. --- Environment and Public Health. --- Delivery of Health Care.
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Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences.
infinite-point boundary conditions --- nonlinear boundary value problems --- q-polynomials --- ?-generalized Hurwitz–Lerch zeta functions --- Hadamard product --- password --- summation formulas --- Hankel determinant --- multi-strip --- Euler numbers and polynomials --- natural transform --- fuzzy volterra integro-differential equations --- zeros --- fuzzy differential equations --- Szász operator --- q)-Bleimann–Butzer–Hahn operators --- distortion theorems --- analytic function --- generating relations --- differential operator --- pseudo-Chebyshev polynomials --- Chebyshev polynomials --- Mellin transform --- uniformly convex functions --- operational methods --- differential equation --- ?-convex function --- Fourier transform --- q)-analogue of tangent zeta function --- q -Hermite–Genocchi polynomials --- Dunkl analogue --- derivative properties --- q)-Euler numbers and polynomials of higher order --- exact solutions --- encryption --- spectrum symmetry --- advanced and deviated arguments --- PBKDF --- wavelet transform of generalized functions --- fuzzy general linear method --- Lommel functions --- highly oscillatory Bessel kernel --- generalized mittag-leffler function --- audio features --- the uniqueness of the solution --- analytic --- Mittag–Leffler functions --- Dziok–Srivastava operator --- Bell numbers --- rate of approximation --- Bessel kernel --- univalent functions --- inclusion relationships --- Liouville–Caputo-type fractional derivative --- tangent polynomials --- Bernoulli spiral --- multi-point --- q -Hermite–Euler polynomials --- analytic functions --- Fredholm integral equation --- orthogonality property --- Struve functions --- cryptography --- Janowski star-like function --- starlike and q-starlike functions --- piecewise Hermite collocation method --- uniformly starlike and convex functions --- q -Hermite–Bernoulli polynomials --- generalized functions --- meromorphic function --- basic hypergeometric functions --- fractional-order differential equations --- q -Sheffer–Appell polynomials --- integral representations --- Srivastava–Tomovski generalization of Mittag–Leffler function --- Caputo fractional derivative --- Bernoulli --- symmetric --- sufficient conditions --- nonlocal --- the existence of a solution --- functions of bounded boundary and bounded radius rotations --- differential inclusion --- symmetry of the zero --- recurrence relation --- nonlinear boundary value problem --- Volterra integral equations --- Ulam stability --- q)-analogue of tangent numbers and polynomials --- starlike function --- function spaces and their duals --- strongly starlike functions --- q)-Bernstein operators --- vibrating string equation --- ?-generalized Hurwitz-Lerch zeta functions --- bound on derivatives --- Janowski convex function --- volterra integral equation --- strongly-starlike function --- Hadamard product (convolution) --- regular solution --- generalized Hukuhara differentiability --- functions with positive real part --- exponential function --- q–Bleimann–Butzer–Hahn operators --- Carlitz-type q-tangent polynomials --- distributions --- Carlitz-type q-tangent numbers --- starlike functions --- Riemann-Stieltjes functional integral --- hash --- K-functional --- (p --- Euler --- truncated-exponential polynomials --- Maple graphs --- Hurwitz-Euler eta function --- higher order Schwarzian derivatives --- generating functions --- strongly convex functions --- Hölder condition --- multiple Hurwitz-Euler eta function --- recurrence relations --- q-starlike functions --- partial sum --- Euler and Genocchi polynomials --- tangent numbers --- spectral decomposition --- determinant definition --- monomiality principle --- highly oscillatory --- Hurwitz-Lerch zeta function --- Adomian decomposition method --- analytic number theory --- existence --- existence of at least one solution --- symmetric identities --- modulus of continuity --- modified Kudryashov method --- MFCC --- q-hypergeometric functions --- differential subordination --- Janowski functions --- and Genocchi numbers --- series representation --- initial conditions --- generalization of exponential function --- upper bound --- q-derivative (or q-difference) operator --- DCT --- Schwartz testing function space --- anuran calls --- generalized Kuramoto–Sivashinsky equation --- Mittag–Leffler function --- subordination --- Hardy space --- convergence --- Hermite interpolation --- direct Hermite collocation method --- q-Euler numbers and polynomials --- distribution space --- Apostol-type polynomials and Apostol-type numbers --- Schauder fixed point theorem --- fractional integral --- convolution quadrature rule --- q)-integers --- Liouville-Caputo fractional derivative --- fixed point --- convex functions --- Grandi curves --- tempered distributions --- higher order q-Euler numbers and polynomials --- radius estimate
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