Orthogonal polynomials of several variables

The Resource Orthogonal polynomials of several variables

Label

Orthogonal polynomials of several variables

Statement of responsibility

Charles F. Dunkl, Yuan Xu

Language

eng

Summary

"This is the first modern book on orthogonal polynomials of several variables, which are interesting both as objects of study and as tools used in multivariate analysis, including approximations and numerical integration. The book, which is intended both as an introduction to the subject and as a reference, presents the theory in elegant form and with modern concepts and notation. It introduces the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains such as the cube, the simplex, the sphere and the ball, or those of Gaussian type, for which fairly explicit formulae exist. The approach is a blend of classical analysis and symmetry-group-theoretic methods
Reflection groups are used to motivate and classify symmetries of weight functions and the associated polynomials. Many results come from current research literature. The book will be welcomed by research mathematicians and applied scientists, including applied mathematicians, physicists, chemists and engineers."--Jacket

Cataloging source

N$T

Dewey number

515/.55

Index

index present

LC call number

QA404.5

LC item number

.D86 2001eb

Literary form

non fiction

Nature of contents

Series statement

Encyclopedia of mathematics and its applications

Series volume

volume 81

Context

Context of Orthogonal polynomials of several variables

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Context