The classical orthogonal polynomials /

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Bibliographic Details
Author / Creator:Doman, Brian George Spencer, 1936- author.
Imprint:New Jersey : World Scientific, [2016]
©2016
Description:1 online resource (xii, 164 pages)
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11248722
Hidden Bibliographic Details
ISBN:9789814704045
9814704040
9789814704038
9814704032
Notes:Includes bibliographical references and index.
Print version record.
Summary:"This book defines sets of orthogonal polynomials and derives a number of properties satisfied by any such set. It continues by describing the classical orthogonal polynomials and the additional properties they have. The first chapter defines the orthogonality condition for two functions. It then gives an iterative process to produce a set of polynomials which are orthogonal to one another and then describes a number of properties satisfied by any set of orthogonal polynomials. The classical orthogonal polynomials arise when the weight function in the orthogonality condition has a particular form. These polynomials have a further set of properties and in particular satisfy a second order differential equation. Each subsequent chapter investigates the properties of a particular polynomial set starting from its differential equation."--
Other form:Print version: Doman, Brian George Spencer, 1936- Classical orthogonal polynomials. New Jersey : World Scientific, 2015 9789814704038