Articles liés à The Classical Orthogonal Polynomials

The Classical Orthogonal Polynomials - Couverture rigide

Doman, Brian George Spencer

 
9789814704038: The Classical Orthogonal Polynomials
Couverture rigide
ISBN 10 : 9814704032 ISBN 13 : 9789814704038
Editeur : World Scientific Publishing Co Pte Ltd, 2015

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

This book is well written and it is relatively easy to read. I recommend it to anyone who is interested not only in orthogonal polynomials theory, but also in its physical applications. The book can be also successfully used by instructors of undergraduate courses. --Pure and Applied Geophysics

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2015
Langue
anglais
ISBN 10 
9814704032
ISBN 13 
9789814704038
Reliure
Relié
Nombre de pages
178
Coordonnées du fabricant
World Scientific Publishing
https://www.worldscientific.com/

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