Coverart for item
The Resource Special functions, George E. Andrews, Richard Askey, Ranjan Roy

Special functions, George E. Andrews, Richard Askey, Ranjan Roy

Label
Special functions
Title
Special functions
Statement of responsibility
George E. Andrews, Richard Askey, Ranjan Roy
Creator
Contributor
Subject
Language
eng
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 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
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1938-
http://library.link/vocab/creatorName
Andrews, George E.
Dewey number
515/.5
Illustrations
illustrations
Index
index present
LC call number
QA351
LC item number
.A74 1999
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1948-
http://library.link/vocab/relatedWorkOrContributorName
  • Askey, Richard
  • Roy, Ranjan
Series statement
Encyclopedia of mathematics and its applications
Series volume
v. 71
http://library.link/vocab/subjectName
Functions, Special
Label
Special functions, George E. Andrews, Richard Askey, Ranjan Roy
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 641-653) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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 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
Control code
39189987
Dimensions
25 cm
Extent
xvi, 664 pages
Isbn
9780521623216
Lccn
98025757
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
Label
Special functions, George E. Andrews, Richard Askey, Ranjan Roy
Publication
Bibliography note
Includes bibliographical references (pages 641-653) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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 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
Control code
39189987
Dimensions
25 cm
Extent
xvi, 664 pages
Isbn
9780521623216
Lccn
98025757
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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