Special functions :: a graduate text /
"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 t...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2010.
|
| Schriftenreihe: | Cambridge studies in advanced mathematics ;
126. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "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"-- |
| Beschreibung: | 1 online resource (ix, 456 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and indexes. |
| ISBN: | 9780511789595 0511789599 9780511786983 0511786980 9780511762543 0511762542 |
Internformat
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| 504 | |a Includes bibliographical references 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. | |
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| author | Beals, Richard, 1938- |
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| contents | 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. |
| ctrlnum | (OCoLC)665834705 |
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| indexdate | 2024-11-27T13:17:30Z |
| institution | BVB |
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| publishDate | 2010 |
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| publisher | Cambridge University Press, |
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| series | Cambridge studies in advanced mathematics ; |
| series2 | Cambridge studies in advanced mathematics ; |
| spelling | Beals, Richard, 1938- https://id.oclc.org/worldcat/entity/E39PBJv8KfVTdCgCgMVdrQMVmd http://id.loc.gov/authorities/names/n82246200 Special functions : a graduate text / Richard Beals, Roderick Wong. Cambridge ; New York : Cambridge University Press, 2010. 1 online resource (ix, 456 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge studies in advanced mathematics ; 126 "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"-- Provided by publisher. Includes bibliographical references 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. Print version record. Functions, Special Textbooks. Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Statistics. http://id.loc.gov/authorities/subjects/sh85127580 Mathematics Models, Statistical Statistics as Topic Mathématiques. Statistiques. Statistique. mathematics. aat applied mathematics. aat statistics. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Statistics fast Mathematics fast Functions, Special fast Spezielle Funktion gnd http://d-nb.info/gnd/4182213-4 Electronic book. Textbooks fast Wong, Roderick, 1944- https://id.oclc.org/worldcat/entity/E39PBJvtdjWmrhqWG3JbJqR3Qq Print version: Beals, Richard, 1938- Special functions. Cambridge ; New York : Cambridge University Press, 2010 9780521197977 (DLC) 2010017815 (OCoLC)601113002 Cambridge studies in advanced mathematics ; 126. http://id.loc.gov/authorities/names/n84708314 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=329387 Volltext |
| spellingShingle | Beals, Richard, 1938- Special functions : a graduate text / Cambridge studies in advanced mathematics ; 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. Functions, Special Textbooks. Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Statistics. http://id.loc.gov/authorities/subjects/sh85127580 Mathematics Models, Statistical Statistics as Topic Mathématiques. Statistiques. Statistique. mathematics. aat applied mathematics. aat statistics. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Statistics fast Mathematics fast Functions, Special fast Spezielle Funktion gnd http://d-nb.info/gnd/4182213-4 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082139 http://id.loc.gov/authorities/subjects/sh85127580 http://d-nb.info/gnd/4182213-4 |
| title | Special functions : a graduate text / |
| title_auth | Special functions : a graduate text / |
| title_exact_search | Special functions : a graduate text / |
| title_full | Special functions : a graduate text / Richard Beals, Roderick Wong. |
| title_fullStr | Special functions : a graduate text / Richard Beals, Roderick Wong. |
| title_full_unstemmed | Special functions : a graduate text / Richard Beals, Roderick Wong. |
| title_short | Special functions : |
| title_sort | special functions a graduate text |
| title_sub | a graduate text / |
| topic | Functions, Special Textbooks. Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Statistics. http://id.loc.gov/authorities/subjects/sh85127580 Mathematics Models, Statistical Statistics as Topic Mathématiques. Statistiques. Statistique. mathematics. aat applied mathematics. aat statistics. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Statistics fast Mathematics fast Functions, Special fast Spezielle Funktion gnd http://d-nb.info/gnd/4182213-4 |
| topic_facet | Functions, Special Textbooks. Mathematics. Statistics. Mathematics Models, Statistical Statistics as Topic Mathématiques. Statistiques. Statistique. mathematics. applied mathematics. statistics. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Statistics Functions, Special Spezielle Funktion Electronic book. Textbooks |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=329387 |
| work_keys_str_mv | AT bealsrichard specialfunctionsagraduatetext AT wongroderick specialfunctionsagraduatetext |