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

By:

Beals, Richard, 1938-

Contributor(s):

Wong, Roderick, 1944-

Material type: Text

TextSeries: Cambridge studies in advanced mathematics ; 126.Publication details: Cambridge ; New York : Cambridge University Press, 2010.Description: 1 online resource (ix, 456 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9780511789595
0511789599
9780511786983
0511786980
9780511762543
0511762542

Subject(s): Genre/Form:

Additional physical formats: Print version:: Special functions.DDC classification:

515/.5 22

LOC classification:

QA351 .B34 2010eb

Online resources:

Click here to access online

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.

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"-- Provided by publisher.

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Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

"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.