000			02634nam a22003738i 4500
001			CR9781107325937
003			UkCbUP
005			20200124160220.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			130129s1999||||enk o ||1 0|eng|d
020			_a9781107325937 (ebook)
020			_z9780521623216 (hardback)
020			_z9780521789882 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA351 _b.A74 1999
082	0	0	_a515/.5 _221
100	1		_aAndrews, George E., _d1938- _eauthor.
245	1	0	_aSpecial functions / _cGeorge E. Andrews, Richard Askey, Ranjan Roy.
264		1	_aCambridge : _bCambridge University Press, _c1999.
300			_a1 online resource (xvi, 664 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 71
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aSpecial functions, natural generalizations of the elementary functions, have been studied for centuries. The greatest mathematicians, among them Euler, Gauss, Legendre, Eisenstein, Riemann, and Ramanujan, have laid the foundations for this beautiful and useful area of mathematics. This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric series, including Bessel functions and classical orthogonal polynomials, using the basic building block of the gamma function. In addition to relatively new work on gamma and beta functions, such as Selberg's multidimensional integrals, many important but relatively unknown nineteenth century results are included. Other topics include q-extensions of beta integrals and of hypergeometric series, Bailey chains, spherical harmonics, and applications to combinatorial problems. The authors provide organizing ideas, motivation, and historical background for the study and application of some important special functions. This clearly expressed and readable work can serve as a learning tool and lasting reference for students and researchers in special functions, mathematical physics, differential equations, mathematical computing, number theory, and combinatorics.
650		0	_aFunctions, Special.
700	1		_aAskey, Richard, _eauthor.
700	1		_aRoy, Ranjan, _d1948- _eauthor.
776	0	8	_iPrint version: _z9780521623216
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 71.
856	4	0	_uhttps://doi.org/10.1017/CBO9781107325937
999			_c516631 _d516629