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portada The Classical Orthogonal Polynomials
Type
Physical Book
Publisher
Author
Year
2015
Language
English
Pages
178
Format
Hardcover
ISBN13
9789814704038
Categories

The Classical Orthogonal Polynomials

Brian George Spencer Doman (Author) · Wspc · Hardcover

The Classical Orthogonal Polynomials - Brian George Spencer Doman

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Synopsis "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 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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