Classical Orthogonal Polynomials, The

Classical Orthogonal Polynomials, The

by Brian George Spencer Doman

Hardback Publication Date: 12/11/2015

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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.
ISBN:
9789814704038
9789814704038
Category:
Numerical analysis
Format:
Hardback
Publication Date:
12-11-2015
Publisher:
World Scientific Publishing Co Pte Ltd
Country of origin:
Singapore
Pages:
176
Dimensions (mm):
231x155x18mm
Weight:
0.45kg

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