Special functions: a graduate text

By:

Beals, Richard

Contributor(s):

Wong, Roderick

Series: Cambridge studies in advanced mathematics ; 126Publication details: Cambridge University Press, 2010. Cambridge:Description: ix, 456 p. : ill. ; hb, 24 cmISBN:

9780521197977

Subject(s):

DDC classification:

515.5 BEA

Summary: 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.

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	515.5 BEA (Browse shelf(Opens below))	1	Available		030165

Browsing IIT Gandhinagar shelves, Shelving location: General Stacks, Collection: General Close shelf browser (Hides shelf browser)

Previous								Next
Previous	515.48 KAL Outline of ergodic theory	515.48 VIA Foundations of ergodic theory	515.48 VIA Lectures on Lyapunov exponents	515.5 BEA Special functions: a graduate text	515.5 LEB Special functions and their applications	515.52 FAR Solved problems in analysis: as applied to gamma, beta, Legendre, and Bessel functions	515.53 LUK Integrals of Bessel functions	Next

Includes bibliographical references and indexes.

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.

There are no comments on this title.

to post a comment.