Hidden Bibliographic Details
ISBN: | 9789814704045 9814704040 9789814704038 9814704032
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Notes: | Includes bibliographical references and index. Print version record.
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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."--
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Other form: | Print version: Doman, Brian George Spencer, 1936- Classical orthogonal polynomials. New Jersey : World Scientific, 2015 9789814704038
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