Analytic number theory, approximation theory, and special functions : in honor of hari m. Srivastava / edited by Gradimir V. Milovanovi?, Michael Th. Rassias.

Springer eBooks

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. Ivi?) -- 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) -- Topics in special functions III (G.D. Anderson, M. Vuorinen, X. Zhang) -- Completely monotone functions—a digest (M. Merkle) -- New applications of superquadracity (S. Abramovich) -- Green's operator and differential forms (S. Ding, Y. Xing) -- Multidimensional discrete Hilbert-type inequalities, operators and compositions (B. Yang) -- The function (bx-ax)/x: 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) -- Optimal quadrature formulas and interpolation splines minimizing the semi-norm in the Hilbert space K2(P2) (A.R. Hayotov, G.V. Milovanovi?, K.M. Shadimetov) -- Numerical integration of highly oscillating functions (G.V. Milovanovi?, M.P. Stani?) -- 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 -- 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 ?-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.

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