The classical orthogonal polynomials:

"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 th...

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Bibliographic Details
Main Author: Doman, Brian George Spencer 1936- (Author)
Format: Electronic eBook
Language:English
Published: Singapore World Scientific Publishing Co. Pte. Ltd. c2016
Subjects:
Online Access:FHN01
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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."--
Item Description:Title from PDF file title page (viewed November 13, 2015)
Physical Description:1 online resource (xii, 164 p.) ill. (some col.)
ISBN:9789814704045

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