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Special functions and orthogonal pol...

Beals, Richard, (1938-)

Special functions and orthogonal polynomials

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Special functions and orthogonal polynomialsRichard Beals, Roderick Wong.
其他題名:	Special Functions & Orthogonal Polynomials
作者:	Beals, Richard,
其他作者:	Wong, Roderick,
出版者:	Cambridge :Cambridge University Press,2016.
面頁冊數:	xiii, 473 p. :ill., digital ;24 cm.
標題:	Orthogonal polynomials.
電子資源:	https://doi.org/10.1017/CBO9781316227381
ISBN:	9781316227381$q(electronic bk.)

Special functions and orthogonal polynomials
Beals, Richard,1938-

Special functions and orthogonal polynomials[electronic resource] /Special Functions & Orthogonal PolynomialsRichard Beals, Roderick Wong. - Cambridge :Cambridge University Press,2016. - xiii, 473 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;153. - Cambridge studies in advanced mathematics ;105..

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 Painleve transcendents, which have been termed the 'special functions of the twenty-first century'.

ISBN: 9781316227381$q(electronic bk.)Subjects--Topical Terms:

239938
Orthogonal polynomials.

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

Dewey Class. No.: 515.55

Special functions and orthogonal polynomials
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100 1 $a Beals, Richard, $d 1938- $3 840460
245 1 0 $a Special functions and orthogonal polynomials $h [electronic resource] / $c Richard Beals, Roderick Wong.
246 3 $a Special Functions & Orthogonal Polynomials
260 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a xiii, 473 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 153
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 Painleve transcendents, which have been termed the 'special functions of the twenty-first century'.
650 0 $a Orthogonal polynomials. $3 239938
650 0 $a Functions, Special. $3 281573
650 0 $a Mathematical analysis. $3 186133
700 1 $a Wong, Roderick, $d 1944- $3 840461
830 0 $a Cambridge studies in advanced mathematics ; $v 105. $3 541725
856 4 0 $u https://doi.org/10.1017/CBO9781316227381