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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.

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

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• Reference Manager
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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