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Special functions

Author: George E Andrews; Richard Askey; Ranjan Roy
Publisher: Cambridge, UK ; New York, NY, USA : Cambridge University Press, 1999.
Series: Encyclopedia of mathematics and its applications, v. 71.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric series, including Bessel functions and classical orthogonal polynomials. The basic building block of the functions studied in this book is the gamma function. In addition to relatively new work on gamma and beta functions, such as Selberg's multidimensional integrals, a number of  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Andrews, George E., 1938-
Special functions.
Cambridge, UK ; New York, NY, USA : Cambridge University Press, 1999
(DLC) 98025757
(OCoLC)39189987
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: George E Andrews; Richard Askey; Ranjan Roy
ISBN: 9781107266865 1107266866 9781107325937 1107325935
OCLC Number: 852896189
Description: 1 online resource (xvi, 664 pages).
Contents: 1. The Gamma and Beta functions; 2. The hypergeometric functions; 3. Hypergeometric transformations and identities; 4. Bessel functions and confluent hypergeometric functions; 5. Orthogonal polynomials; 6. Special orthogonal transformations; 7. Topics in orthogonal polynomials; 8. The Selberg integral and its applications; 9. Spherical harmonics; 10. Introduction to q-series; 11. Partitions; 12. Bailey chains; Appendix 1. Infinite products; Appendix 2. Summability and fractional integration; Appendix 3. Asymptotic expansions; Appendix 4. Euler-Maclaurin summation formula; Appendix 5. Lagrange inversion formula; Appendix 6. Series solutions of differential equations.
Series Title: Encyclopedia of mathematics and its applications, v. 71.
Responsibility: George E. Andrews, Richard Askey, Ranjan Roy.
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Abstract:

Presents an overview of the area of special functions, focusing on the hypergeometric functions and the associated hypergeometric series, such as the gamma and beta functions, Bessel functions,  Read more...

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'Occasionally there is published a mathematics book that one is compelled to describe as, well, let us say, special. Special Functions is certainly one of those rare books. ... this treatise ... Read more...

 
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