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The Classical Orthogonal Polynomials

The Classical Orthogonal Polynomials

Hardcover

General MathematicsPhysics

ISBN10: 9814704032
ISBN13: 9789814704038
Publisher: World Scientific Publishing Company
Published: Nov 21 2015
Pages: 176
Weight: 1.00
Height: 0.70 Width: 6.10 Depth: 9.10
Language: English

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.

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General Mathematics