Mathematical Analysis and Analytic Number Theory 2019

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 sta...

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Bibliographic Details
Other Authors:	Srivastava, Rekha (Editor)
Format:	Book Chapter
Published:	Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
Subjects:	Research & information: general Mathematics & science 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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Mathematical Analysis and Analytic Number Theory 2019

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