Vistas of special functions:
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Bibliographische Detailangaben
1. Verfasser: Kanemitsu, Shigeru (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Hackensack, NJ World Scientific 2007
Schlagworte:
Online-Zugang:FAW01
FAW02
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Beschreibung:Includes bibliographical references 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; Index
This 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 F.
Beschreibung:1 Online-Ressource
ISBN:1281121924
9781281121929
9789812708830
9812708839

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