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- catalog abstract ""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 important but relatively unknown nineteenth century results are included."--BOOK JACKET. "The authors provide organizing ideas, motivation, and historical background for the study and application of some important special functions. This work can serve as a learning tool and lasting reference for students and researchers in special functions, mathematical physics, differential equations, mathematical computing, number theory, and combinatorics."--Jacket.".
- catalog contributor b11072315.
- catalog contributor b11072316.
- catalog contributor b11072317.
- catalog created "1999.".
- catalog date "1999".
- catalog date "1999.".
- catalog dateCopyrighted "1999.".
- catalog description ""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 important but relatively unknown nineteenth century results are included."--BOOK JACKET. "The authors provide organizing ideas, motivation, and historical background for the study and application of some important special functions. This work can serve as a learning tool and lasting reference for students and researchers in special functions, mathematical physics, differential equations, mathematical computing, number theory, and combinatorics."--Jacket.".
- catalog description "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 Polynomials -- 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 -- A. Infinite Products -- B. Summability and Fractional Integration -- C. Asymptotic Expansions -- D. Euler-Maclaurin Summation Formula -- E. LaGrange Inversion Formula -- F. Series Solutions of Differential Equations.".
- catalog description "Includes bibliographical references (p.641-653) and indexes.".
- catalog extent "xvi, 664 p. ;".
- catalog identifier "0521623219 (hardcover)".
- catalog isPartOf "Encyclopedia of mathematics and its applications ; v. 71".
- catalog issued "1999".
- catalog issued "1999.".
- catalog language "eng".
- catalog publisher "Cambridge, UK ; New York : Cambridge University Press,".
- catalog subject "515/.5 21".
- catalog subject "Functions, Special.".
- catalog subject "QA351 .A74 1999".
- catalog tableOfContents "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 Polynomials -- 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 -- A. Infinite Products -- B. Summability and Fractional Integration -- C. Asymptotic Expansions -- D. Euler-Maclaurin Summation Formula -- E. LaGrange Inversion Formula -- F. Series Solutions of Differential Equations.".
- catalog title "Special functions / George E. Andrews, Richard Askey, Ranjan Roy.".
- catalog type "text".