LEADER 07224nam 22007335 450 001 9910299963303321 005 20200705125737.0 010 $a1-4939-0258-X 024 7 $a10.1007/978-1-4939-0258-3 035 $a(CKB)3710000000092562 035 $a(EBL)1783845 035 $a(SSID)ssj0001186985 035 $a(PQKBManifestationID)11675240 035 $a(PQKBTitleCode)TC0001186985 035 $a(PQKBWorkID)11242631 035 $a(PQKB)10375088 035 $a(MiAaPQ)EBC1783845 035 $a(DE-He213)978-1-4939-0258-3 035 $a(PPN)177821663 035 $a(EXLCZ)993710000000092562 100 $a20140303d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAnalytic Number Theory, Approximation Theory, and Special Functions$b[electronic resource] $eIn Honor of Hari M. Srivastava /$fedited by Gradimir V. Milovanovi?, Michael Th. Rassias 205 $a1st ed. 2014. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2014. 215 $a1 online resource (873 p.) 300 $aDescription based upon print version of record. 311 $a1-322-13267-4 311 $a1-4939-0257-1 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aPart 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. 330 $aThis 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. 606 $aNumber theory 606 $aApproximation theory 606 $aFunctional analysis 606 $aDifference equations 606 $aFunctional equations 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 606 $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 608 $aAufsatzsammlung. 615 0$aNumber theory. 615 0$aApproximation theory. 615 0$aFunctional analysis. 615 0$aDifference equations. 615 0$aFunctional equations. 615 14$aNumber Theory. 615 24$aApproximations and Expansions. 615 24$aFunctional Analysis. 615 24$aDifference and Functional Equations. 676 $a510 686 $aSE 316$2rvk 686 $aSK 110$2rvk 702 $aMilovanovi?$b Gradimir V$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRassias$b Michael Th$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910299963303321 996 $aAnalytic number theory, approximation theory, and special functions$91410717 997 $aUNINA