Analytic Number Theory, Approximation Theory, and Special Functions In Honor of Hari M. Srivastava

This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered inc...

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Corporate Author: SpringerLink (Online service)
Other Authors: Milovanović, Gradimir V. (Editor), Rassias, Michael Th (Editor)
Format: eBook
Language:English
Published: New York, NY Springer New York 2014, 2014
Edition:1st ed. 2014
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Analytic Number Theory, Approximation Theory, and Special Functions  |h Elektronische Ressource  |b In Honor of Hari M. Srivastava  |c edited by Gradimir V. Milovanović, Michael Th. Rassias 
250 |a 1st ed. 2014 
260 |a New York, NY  |b Springer New York  |c 2014, 2014 
300 |a XI, 880 p. 24 illus  |b online resource 
505 0 |a Optimal quadrature formulas and interpolation splines minimizing the semi-norm in the Hilbert space K2(P2) (A.R. Hayotov, G.V. Milovanović, K.M. Shadimetov) -- Numerical integration of highly oscillating functions (G.V. Milovanović, M.P. Stanić) -- Part IV. Orthogonality, Transformations and Applications -- Asymptotic reductions between the Wilson polynomials and the lower level polynomials of the Askey scheme (C. Ferreira, J.L. López, E.P. Sinusía) -- On a direct Uvarov–Chihara problem and some extensions (K. Castillo, L. Garza, F. Marcellán) -- On special cases of Boas–Buck type polynomial sequences (A.F. Loureiro, S. Yakubovich) -- Goursat's hypergeometric transformations, revisited (P.W. Karlsson) -- Convolutions product and differential and integro-differential equations (A. Kiliçman) -- Orthogonally additive-additive functional equation (C. Park) -- Part V. Special and Complex Functions and Applications --  
505 0 |a Ratio's properties (F. Qi, Q.-M. Luo, B.-N. Guo) -- On the approximation and bounds of the Gini mean difference (P. Cerone) -- On parametric nonconvex variational inequalities (M.A. Noor) -- Part III. Approximation of Functions and Quadratures -- Simultaneous approximation for Stancu type generalization of certain summation-integral typfe operators (N.K. Govil, V. Gupta) -- Korovkin type approximation theorem for functions of two variables via statistical summability (M. Mursaleen, S.A. Mohiuddine) -- Reflections on the Baker–Gammel–Wills (Padé) conjecture (D.S. Lubinsky) --  
505 0 |a Alternating Mathieu series, Hilbert–Eisteinstein series and their generalized Omega functions (A. Baricz, P.L. Butzer, T.K. Pogány) -- Properties of the product of modified Bessel functions (A. Baricz, T.K. Pogány) -- Mapping properties of an integral operator involving Bessel functions (S. Porwal, D. Breaz) -- Poincaré α-series for classical Schottky groups (V.V. Mityushev) -- Inclusion properties for certain classes of meromorphic multivalent functions (N.E. Cho) -- A journey from Gross-problem to Fujimoto-condition (I. Lahiri, A Banerjee) -- Index 
505 0 |a Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials -- The mean values of the Riemann Zeta function on the critical line (A. Ivić) -- Explicit bounds concerning non-trivial zeros of the Riemann Zeta function (M. Hassani) -- On the value-distribution of logarithmic derivatives of Dirichlet L-functions (Y. Ihara, K. Matsumoto) -- Multiple Gamma functions and their applications (J. Choi) -- On partition functions of hyperbolic three-geometry and associated Hilbert schemes (A.A. Bytsenko and E. Elizalde) -- Families of twisted Bernoulli numbers, twisted Bernoulli polynomials and their applications (Y. Simsek) -- Combinatorial interpretation of a generalized basic series (A.K. Agarwal, M. Rana) -- Identities for reciprocal binomials (A. Sofo) -- A note on q-Stirling numbers (M. Merca) -- Part II. Analytic Inequalities and Applications -- A survey on Cauchy–Bunyakovsky–Schwarz inequality for power series (A. Ibrahim, S.S. Dragomir) --  
653 |a Approximations and Expansions 
653 |a Functional analysis 
653 |a Number theory 
653 |a Number Theory 
653 |a Difference and Functional Equations 
653 |a Functional equations 
653 |a Functional Analysis 
653 |a Mathematics 
700 1 |a Rassias, Michael Th  |e [editor] 
710 2 |a SpringerLink (Online service) 
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082 0 |a 512.7 
520 |a This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality, and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics, and other computational and applied sciences