ENGLISH

Vistas of Special Functions

By Shigeru Kanemitsu , Haruo Tsukada

Book information

Publisher
World Scientific Publishing Company
Year
2007
ISBN
9812707743, 9789812707741
Language
english
Format
PDF
Filesize
4 MB (4259247 bytes)
Pages
224\224
Time added
2012-12-29 17:00:00

Description

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 Fourier series for the (first) periodic Bernoulli polynomial is effectively used, familiarizing the reader with the relationship between special functions and zeta-functions.

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