Mathematical Analysis and Analytic Number Theory 2019

• Format: eBook
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
• Subjects: analytic functions; Appell–Bessel functions; ArcTan and ArcTanh functions; asymptotics; Bessel functions; bi-close-to-convex functions; cardioid domain; Catalan’s constant; Chebyshev polynomials; circular domain; close-to-convex functions; close-to-convexity; closed form; closure property; coefficient estimates; combinatorial partition-theoretic identities; conic domain; convergence theorems; convex functions; convexity; convolution; cotangent sum; Dedekind sum; delta sequence; determinant; differential operator; distortion; distribution; Euler sums; Euler’s pentagonal number theorem; exponential sums; Fibonacci number; Fox-Wright function; fractional Laplacian; functions with positive real part; gamma function and its extension; generalized Lupaş operators; generating functions; Hadamard product; Hankel determinant; Hankel matrix; Hardy space; harmonic numbers; harmonic univalent functions; hyper-Bessel functions; hypergeometric function and its extensions; integral expressions; integral representation; integral representations; inverse; Jacobi’s triple-product identity; Janowski functions; Korovkin’s type theorem; Lambert series; laplace and other integral transforms; lemniscate of Bernoulli Hankel determinant; Lucas number; m-fold symmetric functions; Mathematics and Science; Mersenne number; modular transformation; multivalent functions; multivariable R-functions; p-valent analytic function; partial fractions; periodic tridiagonal Toeplitz matrix; Pochhammer symbol and its extensions; q analogue; q-Bernardi integral operator; q-close-to-convex functions; q-convex functions; q-integral operator; q-product identities; q-Ruschweyh differential operator; q-starlike functions; quasi-Hadamard; Ramanujan’s theta functions; reciprocals; Reference, Information and Interdisciplinary subjects; Research and information: general; riemann zeta function; Riesz fractional derivative; Rogers-Ramanujan continued fraction; Rogers-Ramanujan identities; Schur’s; Schur’s second partition theorem; second Hankel determinant; Sherman-Morrison-Woodbury formula; special functions; starlike function; starlike functions; starlikeness; subordinate; subordination; subordinations; the Göllnitz-Gordon’s and the Göllnitz’s partition identities; theta-function identities; Toeplitz matrix; Trigamma function; umbral methods; univalent function; univalent functions; Voronovskaya type theorem; with symmetric conjecture point; τ-Gauss hypergeometric function and its extensions; τ-Kummer hypergeometric function
• ISBN: 9783036500331; 3036500332; 9783036500324; 3036500324
• DOI: 10.3390/books978-3-0365-0033-1

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.