Vistas of special functions [[electronic resource] /] / Shigeru Kanemitsu & Haruo Tsukada

• Autore: Kanemitsu Shigeru
• Pubblicazione: Singapore ; ; Hackensack, NJ, : World Scientific, c2007
• Descrizione fisica: 1 online resource (228 p.)
• Disciplina: 515.9
• Soggetto topico: Functions, Special; Bernoulli polynomials
• Altri autori: TsukadaHaruo <1961->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 207-211) and index.
• Nota di contenuto: 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
• Sommario/riassunto: 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
• Titolo autorizzato: Vistas of special functions
• ISBN: 1-281-12192-4; 9786611121921; 981-270-883-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910784072703321
• Lo trovi qui: Univ. Federico II