Vistas of special functions / Shigeru Kanemitsu & Haruo Tsukada.

Format:

Book

Author/Creator:

Kanemitsu, Shigeru.

Contributor:

Tsukada, Haruo, 1961-

Language:

English

Subjects (All):

Functions, Special.

Bernoulli polynomials.

Physical Description:

1 online resource (228 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific, c2007.

Language Note:

English

Summary:

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

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 207-211) and index.

ISBN:

9786611121921

9781281121929

1281121924

9789812708830

9812708839

OCLC:

476100150