Reprint
Mathematical Analysis and Analytic Number Theory 2019
Edited by
April 2021
318 pages
- ISBN978-3-0365-0032-4 (Hardback)
- ISBN978-3-0365-0033-1 (PDF)
This book is a reprint of the Special Issue Mathematical Analysis and Analytic Number Theory 2019 that was published in
Computer Science & Mathematics
Engineering
Physical Sciences
Public Health & Healthcare
Summary
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.
Format
- Hardback
License
© 2022 by the authors; CC BY-NC-ND license
Keywords
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; subordination; 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; analytic functions; close-to-convex functions; subordination; lemniscate of Bernoulli Hankel determinant; determinant; inverse; Mersenne number; periodic tridiagonal Toeplitz matrix; Sherman-Morrison-Woodbury formula; determinant; inverse; Fibonacci number; Lucas number; Toeplitz matrix; Hankel matrix; univalent function; second Hankel determinant; subordination; close-to-convex functions; 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; univalent function; analytic functions; 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