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140407  eng 
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a 9781493902583

100 
1 

a Milovanović, Gradimir V.
e [editor]

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 seminorm 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 integrodifferential equations (A. Kiliçman)  Orthogonally additiveadditive 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 summationintegral 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 αseries for classical Schottky groups (V.V. Mityushev)  Inclusion properties for certain classes of meromorphic multivalent functions (N.E. Cho)  A journey from Grossproblem to Fujimotocondition (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 nontrivial zeros of the Riemann Zeta function (M. Hassani)  On the valuedistribution of logarithmic derivatives of Dirichlet Lfunctions (Y. Ihara, K. Matsumoto)  Multiple Gamma functions and their applications (J. Choi)  On partition functions of hyperbolic threegeometry 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 qStirling 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)

041 
0 
7 
a eng
2 ISO 6392

989 


b Springer
a Springer eBooks 2005

856 


u https://doi.org/10.1007/9781493902583?nosfx=y
x Verlag
3 Volltext

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 thirtyfive 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 selfcontained 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
