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Vistas of special functions /

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 polynomial...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kanemitsu, Shigeru
Otros Autores: Tsukada, Haruo, 1961-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hackensack, NJ : World Scientific, 2007.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Vistas of special functions /  |c Shigeru Kanemitsu & Haruo Tsukada. 
260 |a Hackensack, NJ :  |b World Scientific,  |c 2007. 
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504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
505 0 |a 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. 
520 |a 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. 
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650 0 |a Bernoulli polynomials. 
650 0 |a Gamma functions. 
650 0 |a Functions, Zeta. 
650 0 |a Fourier series. 
650 0 |a L-functions. 
650 6 |a Fonctions spéciales. 
650 6 |a Polynômes de Bernoulli. 
650 6 |a Fonctions gamma. 
650 6 |a Fonctions zêta. 
650 6 |a Séries de Fourier. 
650 6 |a Fonctions L. 
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650 7 |a Fourier series  |2 fast 
650 7 |a Functions, Special  |2 fast 
650 7 |a Functions, Zeta  |2 fast 
650 7 |a Gamma functions  |2 fast 
650 7 |a L-functions  |2 fast 
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