Special functions : a graduate text / Richard Beals, Roderick Wong.

Author/creator Beals, Richard, 1938-
Other author Wong, Roderick, 1944-
Format Book
Publication InfoCambridge ; New York : Cambridge University Press, 2010.
Descriptionix, 456 pages : illustrations ; 24 cm.
Supplemental ContentTable of contents only
Supplemental ContentPublisher description
Supplemental ContentContributor biographical information
Supplemental ContentCover image
Subjects

SeriesCambridge studies in advanced mathematics ; 126
Cambridge studies in advanced mathematics 126. ^A664587
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.
Abstract "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.
Bibliography noteIncludes bibliographical references and indexes.
Genre/formTextbooks.
LCCN 2010017815
ISBN9780521197977 (hbk.)
ISBN052119797X (hbk.)

Availability

Library Location Call Number Status Item Actions
Joyner General Stacks QA351 .B34 2010 ✔ Available Place Hold