Special functions and orthogonal polynomials

• 作者： Beals, Richard, 1938- author.
• 其他作者：
  • Wong, Roderick, 1944- author.
• 其他題名：
  • Special Functions & Orthogonal Polynomials
  • Cambridge studies in advanced mathematics ;
• 出版： Cambridge : Cambridge University Press
• 叢書名： Cambridge studies in advanced mathematics ;153
• 主題： Orthogonal polynomials. , Functions, Special. , Mathematical analysis.
• ISBN： 9781316227381 (electronic bk.) 、 9781107106987 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• More
• 摘要註: The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more. It shows how much of the subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric equation - and it details the ways in which these equations are canonical and special. There is extended coverage of orthogonal polynomials, including connections to approximation theory, continued fractions, and the moment problem, as well as an introduction to new asymptotic methods. There are also chapters on Meijer G-functions and elliptic functions. The final chapter introduces Painleve transcendents, which have been termed the 'special functions of the twenty-first century'.
• 讀者標籤：

  需登入
• 引用連結：

  Copy Link
• 目前引用數
• Share: