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Special functions and orthogonal polynomials /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Special functions and orthogonal polynomials // Richard Beals, Roderick S.C. Wong.
remainder title:	Special Functions & Orthogonal Polynomials
Author:	Beals, Richard,
other author:	Wong, Roderick,
Description:	1 online resource (xiii, 473 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 May 2016).
Subject:	Orthogonal polynomials. -
Online resource:	https://doi.org/10.1017/CBO9781316227381
ISBN:	9781316227381 (ebook)

Special functions and orthogonal polynomials /
Beals, Richard,1938-

Special functions and orthogonal polynomials /Special Functions & Orthogonal PolynomialsRichard Beals, Roderick S.C. Wong. - 1 online resource (xiii, 473 pages) :digital, PDF file(s). - Cambridge studies in advanced mathematics ;153. - Cambridge studies in advanced mathematics ;134..

Title from publisher's bibliographic system (viewed on 05 May 2016).

The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more. It shows how much of the subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric equation - and it details the ways in which these equations are canonical and special. There is extended coverage of orthogonal polynomials, including connections to approximation theory, continued fractions, and the moment problem, as well as an introduction to new asymptotic methods. There are also chapters on Meijer G-functions and elliptic functions. The final chapter introduces Painlevé transcendents, which have been termed the 'special functions of the twenty-first century'.

ISBN: 9781316227381 (ebook)Subjects--Topical Terms:

527749
Orthogonal polynomials.

LC Class. No.: QA404.5 / .B3227 2016

Dewey Class. No.: 515/.55

Special functions and orthogonal polynomials /
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020 $z 9781107106987 (hardback)
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100 1 $a Beals, Richard, $d 1938- $3 1238397
245 1 0 $a Special functions and orthogonal polynomials / $c Richard Beals, Roderick S.C. Wong.
246 3 $a Special Functions & Orthogonal Polynomials
264 1 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a 1 online resource (xiii, 473 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
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338 $a online resource $b cr $2 rdacarrier
490 1 $a Cambridge studies in advanced mathematics ; $v 153
500 $a Title from publisher's bibliographic system (viewed on 05 May 2016).
520 $a The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more. It shows how much of the subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric equation - and it details the ways in which these equations are canonical and special. There is extended coverage of orthogonal polynomials, including connections to approximation theory, continued fractions, and the moment problem, as well as an introduction to new asymptotic methods. There are also chapters on Meijer G-functions and elliptic functions. The final chapter introduces Painlevé transcendents, which have been termed the 'special functions of the twenty-first century'.
650 0 $a Orthogonal polynomials. $3 527749
650 0 $a Functions, Special. $3 527750
650 0 $a Mathematical analysis. $3 527926
700 1 $a Wong, Roderick, $d 1944- $3 1238398
776 0 8 $i Print version: $z 9781107106987
830 0 $a Cambridge studies in advanced mathematics ; $v 134. $3 1133579
856 4 0 $u https://doi.org/10.1017/CBO9781316227381