多变量的正交多项式(Orthogonal Polynomials of Several Variables )英文版[DJVU]

游客，本帖隐藏的内容需要积分高于 1 才可浏览，您当前积分为 0

资源信息： 中文名: 多变量的正交多项式 原名: Orthogonal Polynomials of Several Variables 作者: Charles F.Dunkl Yuan Xu 图书分类: 科技 资源格式: DJVU 版本: 英文版 出版社: 世界图书出版公司 书号: 9787506259422 发行时间: 2003年 地区: 大陆 语言: 英文 概述:

djvu 阅读器： 　http://windjview.sourceforge.net/ 内容介绍： The study of orthogonal polynomials of several variables goes back at least as far as Hermite. There have been only a few books on the subject since: Appell and de Feriet [1926] and Erdelyi et al. [1953]. Twenty-five years have gone by since Koornwinder's survey article [1975]. A number of individuals who need techniques from this topic have approached us and suggested (even asked) that we write a book accessible to a general mathematical audience. It is our goal to present the developments of very recent research to a readership trained in classical analysis. We include applied mathematicians and physicists, and even chemists and mathematical biologists, in this category. 内容截图：

目录: Preface 1 Background 1.1 The Gamma and Beta Functions 1.2 Hypergeometric Series 1.3 Orthogonal Polynomials of One Variable 1.3.1 General properties 1.3.2 Three term recurrence 1.4 Classical Orthogonal Polynomials 1.4.1 Hermite polynomials 1.4.2 Laguerre polynomials 1.4.3 Gegenbauer polynomials 1.4.4 Jacobi polynomials 1.5 Modified Classical Polynomials 1.5.1 Generalized Hermite polynomials 1.5.2 Generalized Gegenbauer. polynomials 1.5.3 A limiting relation 1.6 Notes 2 Examples of Orthogonal Polynomials in Several Variables 2.1 Notation and Preliminary 2.2 Spherical Harmonics 2.3 Classical Orthogonal Polynomials 2.3.1 Multiple Jacobi polynomials on the cube 2.3.2 Classical orthogonal polynomals on the unit ball 2.3.3 Classical orthogonal polynomials on the simples 2.3.4 Multiple Hermite polynomials on Rd 2.3.5 Multiple Laguerre polynomials on Rd+ …… 3 General Properties of Orthogonal Polynomials in Several Variables 4 Root Systems and Coxeter guoups 5 Spherical Harmonics Associated With Reflection Guoups 6 Classical and Generalized Classical Orthogonal Polynomials 7 Summability of Orthogonal Expansions 8 Orthogonal Polynomials Associated with Symmetric Groups 9 Orthogoanl Polynomials Associated with Octahedral Guoups and Applications Bibliography Author index Symbol index Subject index