HARUO KANEMITSU SHIGERU & TSUKADA (EN) — VISTAS OF SPECIAL FUNCTIONS

VISTAS OF SPECIAL FUNCTIONS краткое содержание

VISTAS OF SPECIAL FUNCTIONS - описание и краткое содержание, автор HARUO KANEMITSU SHIGERU & TSUKADA (EN), читать бесплатно онлайн на сайте электронной библиотеки Lib-King.Ru.

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.Contents:The Theory of Bernoulli and Allied PolynomialsThe Theory of the Gamma and Related FunctionsThe Theory of the Hurwitz–Lerch Zeta-FunctionsThe Theory of Bernoulli Polynomials via Zeta-FunctionsThe Theory of the Gamma and Related Functions via Zeta-FunctionsThe Theory of Bessel Functions and the Epstein Zeta-FunctrionsFourier Series and Fourier TransformsAround Dirichlet's L-FunctionsReadership: Graduate students and researchers in pure mathematics.