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Special functions : = a graduate text /

Beals, Richard, (1938-)

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Special functions : = a graduate text /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Special functions :/ Richard Beals, Roderick Wong.
其他題名:	a graduate text /
作者:	Beals, Richard,
其他作者:	Wong, R.
出版者:	Cambridge ;Cambridge University Press, : 2010.,
面頁冊數:	ix, 456 p. :ill. ;24 cm.
內容註:	Orientation -- Gamma, beta, zeta -- Second-order differential equations -- Orthogonal polynomials -- Discrete orthogonal polynomials -- Confluent hypergeometric functions -- Cylinder functions -- Hypergeometric functions -- Spherical functions -- Asymptotics -- Elliptic functions.
標題:	Functions, Special - Textbooks. -
電子資源:	http://www.loc.gov/catdir/enhancements/fy1009/2010017815-t.html
電子資源:	http://www.loc.gov/catdir/enhancements/fy1009/2010017815-d.html
電子資源:	http://www.loc.gov/catdir/enhancements/fy1009/2010017815-b.html
電子資源:	http://assets.cambridge.org/97805211/97977/cover/9780521197977.jpg
ISBN:	9780521197977 (hbk.) :

Special functions : = a graduate text /
Beals, Richard,1938-

Special functions :a graduate text /Richard Beals, Roderick Wong. - Cambridge ;Cambridge University Press,2010. - ix, 456 p. :ill. ;24 cm. - Cambridge studies in advanced mathematics ;126. - Cambridge studies in advanced mathematics ;117..

Includes bibliographical references (p. 433-447) and indexes.

Orientation -- Gamma, beta, zeta -- Second-order differential equations -- Orthogonal polynomials -- Discrete orthogonal polynomials -- Confluent hypergeometric functions -- Cylinder functions -- Hypergeometric functions -- Spherical functions -- Asymptotics -- Elliptic functions.

"The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more, including chapters on discrete orthogonal polynomials and elliptic functions. The authors show how a very large part of the subject traces back to two equations - the hypergeometric equation and the confluent hypergeometric equation - and describe the various ways in which these equations are canonical and special. Providing ready access to theory and formulas, this book serves as an ideal graduate-level textbook as well as a convenient reference"--

ISBN: 9780521197977 (hbk.) :US75.00

LCCN: 2010017815

Nat. Bib. No.: GBB060316bnb

Nat. Bib. Agency Control No.: 015550709UkSubjects--Topical Terms:

1299072
Functions, Special
--Textbooks.

LC Class. No.: QA351 / .B34 2010

Dewey Class. No.: 515/.5

Special functions : = a graduate text /
LDR:02505cam 22003254a 4500 001 975150
003 DLC
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008 111017s2010 enka b 001 0 eng
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015 $a GBB060316 $2 bnb
016 7 $a 015550709 $2 Uk
020 $a 9780521197977 (hbk.) : $c US75.00
020 $a 052119797X (hbk.)
035 $a (OCoLC)ocn601113002
035 $a AS-BW-100-N-01
040 $a DLC $c DLC $d YDX $d BTCTA $d YDXCP $d UKM $d BWK $d CDX $d BWX $d IXA $d STF $d DLC
042 $a pcc
050 0 0 $a QA351 $b .B34 2010
082 0 0 $a 515/.5 $2 22
100 1 $a Beals, Richard, $d 1938- $3 647912
245 1 0 $a Special functions : $b a graduate text / $c Richard Beals, Roderick Wong.
260 # $a Cambridge ; $a New York : $b Cambridge University Press, $c 2010.
300 $a ix, 456 p. : $b ill. ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 126
504 $a Includes bibliographical references (p. 433-447) and indexes.
505 0 # $a Orientation -- Gamma, beta, zeta -- Second-order differential equations -- Orthogonal polynomials -- Discrete orthogonal polynomials -- Confluent hypergeometric functions -- Cylinder functions -- Hypergeometric functions -- Spherical functions -- Asymptotics -- Elliptic functions.
520 # $a "The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more, including chapters on discrete orthogonal polynomials and elliptic functions. The authors show how a very large part of the subject traces back to two equations - the hypergeometric equation and the confluent hypergeometric equation - and describe the various ways in which these equations are canonical and special. Providing ready access to theory and formulas, this book serves as an ideal graduate-level textbook as well as a convenient reference"-- $c Provided by publisher.
650 # 0 $a Functions, Special $v Textbooks. $3 1299072
700 1 # $a Wong, R. $q (Roderick), $d 1944- $3 1299071
830 0 $a Cambridge studies in advanced mathematics ; $v 117. $3 1232927
856 4 1 $3 Table of contents only $u http://www.loc.gov/catdir/enhancements/fy1009/2010017815-t.html
856 4 2 $3 Publisher description $u http://www.loc.gov/catdir/enhancements/fy1009/2010017815-d.html
856 4 2 $3 Contributor biographical information $u http://www.loc.gov/catdir/enhancements/fy1009/2010017815-b.html
856 4 2 $3 Cover image $u http://assets.cambridge.org/97805211/97977/cover/9780521197977.jpg