000			03255nam a22003858i 4500
001			CR9781107325982
003			UkCbUP
005			20200124160232.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			130129s2005||||enk o ||1 0|eng|d
020			_a9781107325982 (ebook)
020			_z9780521782012 (hardback)
020			_z9780521143479 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA404.5 _b.I85 2005
082	0	4	_a515.55 _222
100	1		_aIsmail, Mourad, _d1944- _eauthor.
245	1	0	_aClassical and quantum orthogonal polynomials in one variable / _cMourad E.H. Ismail ; with two chapters by Walter Van Assche.
246	3		_aClassical & Quantum Orthogonal Polynomials in One Variable
264		1	_aCambridge : _bCambridge University Press, _c2005.
300			_a1 online resource (xviii, 706 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 98
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aPreliminaries -- Orthogonal polynomials -- Differential equations -- Jacobi polynomials -- Some inverse problems -- Discrete orthogonal polynomials -- Zeros and inequalities -- Polynomials orthogonal on the unit circle -- Linearization, connections and integral representations -- The Sheffer classification -- q-series preliminaries -- q-summation theorems -- Some q-orthogonal polynomials -- Exponential and q-Bessel functions -- The Askey-Wilson polynomials -- The Askey-Wilson operators -- q-Hermite polynomials on the unit circle -- Discrete q-orthogonal polynomials -- Fractional and q-fractional calculus -- Polynomial solutions to functional equations -- Some indeterminate moment problems -- The Riemann-Hilbert problem -- Multiple orthogonal polynomials -- Research problems.
520			_aThe first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback. Its encyclopedic coverage includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those discovered over the last 50 years, e.g. Askey-Wilson and Al-Salam-Chihara polynomial systems. Multiple orthogonal polynomials are discussed here for the first time in book form. Many modern applications of the subject are dealt with, including birth and death processes, integrable systems, combinatorics, and physical models. A chapter on open research problems and conjectures is designed to stimulate further research on the subject. Thoroughly updated and corrected since its original printing, this book continues to be valued as an authoritative reference not only by mathematicians, but also a wide range of scientists and engineers. Exercises ranging in difficulty are included to help both the graduate student and the newcomer.
650		0	_aOrthogonal polynomials.
700	1		_aAssche, Walter van, _d1958- _eauthor.
776	0	8	_iPrint version: _z9780521782012
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 98.
856	4	0	_uhttps://doi.org/10.1017/CBO9781107325982
999			_c517695 _d517693