000			01904cam a22002297a 4500
008			100617s2007 si a b 001 0 eng d
020			_a9789812707741
041			_aeng
080			_a517.58 _bKAN
100	1		_aKanemitsu, Shigeru.
245	1	0	_aVistas of special functions
260			_aSingapore _bWorld Scientific _c2007
300			_axii, 215 p. _bill.
504			_aIncludes bibliographical references (p. 207-211) and index.
505	0		_aThe theory of Bernoilli and allied polynomials -- The theory of the gamma and related functions -- The theory of the Hurwitz-Lerch zeta-functions -- The theory of Bernoulli polynomilas [sic] via zeta-functions -- The theory of the gamma and related functions via zeta-functions -- The theory of Bessel functions and the Epstein zeta-functions -- Fourier series and Fourier transforms -- Around Dirichlet's L-functions -- Appendix A : Complex functions -- Appendix B : Summation formulas and convergence theorems.
520			_aThis 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.
650		0	_aFunctions, Special.
650		0	_aBernoulli polynomials.
690			_aMathematics
700	1		_aTsukada, Haruo,
942			_cBK
999			_c22883 _d22883