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Book
Integral Transformation, Operational Calculus and Their Applications
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ISBN: 3036554823 3036554815 Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

The importance and usefulness of subjects and topics involving integral transformations and operational calculus are becoming widely recognized, not only in the mathematical sciences but also in the physical, biological, engineering and statistical sciences. This book contains invited reviews and expository and original research articles dealing with and presenting state-of-the-art accounts of the recent advances in these important and potentially useful subjects.

Keywords

Research & information: general --- Mathematics & science --- approximation operators --- differences of operators --- Szász–Mirakyan–Baskakov operators --- Durrmeyer type operators --- Bernstein polynomials --- modulus of continuity --- starlike functions --- subordination --- q-Differential operator --- k-Fibonacci numbers --- Lorentz invariant complex measures --- Minkowski space --- spectral decomposition --- measure convolution --- measure product --- Feynman propagator --- q-difference operator --- Janowski function --- meromorphic multivalent function --- distortion theorem --- partial sum --- closure theorem --- analytic functions --- multivalent (or p-valent) functions --- differential subordination --- q-derivative (or q-difference) operator --- Dunkel type integral inequality --- Schur-convexity --- majorization theory --- arithmetic mean-geometric mean (AM-GM) inequality --- Lerch function --- quadruple integral --- contour integral --- logarithmic function --- preinvex fuzzy mappings --- strongly preinvex fuzzy mappings --- strongly invex fuzzy mappings --- strongly fuzzy monotonicity --- strongly fuzzy mixed variational-like inequalities --- Fourier integral theorem --- double integral --- exponential function --- Catalan’s constant --- Aprey’s constant --- non-separable linear canonical wavelet --- symplectic matrix --- non-separable linear canonical transform --- uncertainty principle --- Fox–Wright function --- generalized hypergeometric function --- Mittag–Leffler function


Book
Integral Transforms and Operational Calculus
Author:
ISBN: 3039216198 303921618X Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

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.

Keywords

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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