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[ subject:"Functions, Special" ]
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Special functions = a graduate text /
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Beals, Richard, (1938-)
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Special functions = a graduate text /
紀錄類型:
書目-電子資源 : 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, Roderick,
出版者:
Cambridge :Cambridge University Press, : 2010.,
面頁冊數:
ix, 456 p. :ill., digital ;24 cm.
附註:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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:
https://doi.org/10.1017/CBO9780511762543
ISBN:
9780511762543
Special functions = a graduate text /
Beals, Richard,1938-
Special functions
a graduate text /[electronic resource] :Richard Beals, Roderick Wong. - Cambridge :Cambridge University Press,2010. - ix, 456 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;126. - Cambridge studies in advanced mathematics ;126..
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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: 9780511762543Subjects--Topical Terms:
3470630
Functions, Special
--Textbooks.
LC Class. No.: QA351 / .B34 2010
Dewey Class. No.: 515.5
Special functions = a graduate text /
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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.
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https://doi.org/10.1017/CBO9780511762543
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