1.

Record Nr.

UNINA9910784072703321

Autore

Kanemitsu Shigeru

Titolo

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

Pubbl/distr/stampa

Singapore ; ; Hackensack, NJ, : World Scientific, c2007

ISBN

1-281-12192-4

9786611121921

981-270-883-9

Descrizione fisica

1 online resource (228 p.)

Altri autori (Persone)

TsukadaHaruo <1961->

Disciplina

515.9

Soggetti

Functions, Special

Bernoulli polynomials

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

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