02902nam 2200601Ia 450 991078407270332120230721025424.01-281-12192-49786611121921981-270-883-9(CKB)1000000000334107(EBL)312391(OCoLC)476100150(SSID)ssj0000268001(PQKBManifestationID)11195673(PQKBTitleCode)TC0000268001(PQKBWorkID)10232784(PQKB)11706356(MiAaPQ)EBC312391(WSP)00006489(Au-PeEL)EBL312391(CaPaEBR)ebr10188790(CaONFJC)MIL112192(OCoLC)173273621(EXLCZ)99100000000033410720070630d2007 uy 0engur|n|---|||||txtccrVistas of special functions[electronic resource] /Shigeru Kanemitsu & Haruo TsukadaSingapore ;Hackensack, NJ World Scientificc20071 online resource (228 p.)Description based upon print version of record.981-270-774-3 Includes bibliographical references (p. 207-211) and index.Preface; Contents; 1. The theory of Bernoulli and allied polynomials; 2. The theory of the gamma and related functions; 3. The theory of the Hurwitz-Lerch zeta-functions; 4. The theory of Bernoulli polynomilas via zeta-functions; 5. The theory of the gamma and related functions via zeta-functions; 6. The theory of Bessel functions and the Epstein zeta-functions; 7. Fourier series and Fourier transforms; 8. Around Dirichlet's L-functions; Appendix A Complex functions; Appendix B Summation formulas and convergence theorems; Bibliography; IndexThis is a unique book for studying special functions through zeta-functions. Many important formulas of special functions scattered throughout the literature are located in their proper positions and readers get enlightened access to them in this book. The areas covered include: Bernoulli polynomials, the gamma function (the beta and the digamma function), the zeta-functions (the Hurwitz, the Lerch, and the Epstein zeta-function), Bessel functions, an introduction to Fourier analysis, finite Fourier series, Dirichlet L-functions, the rudiments of complex functions and summation formulas. The FFunctions, SpecialBernoulli polynomialsFunctions, Special.Bernoulli polynomials.515.9Kanemitsu Shigeru1506866Tsukada Haruo1961-1486192MiAaPQMiAaPQMiAaPQBOOK9910784072703321Vistas of special functions3842258UNINA