Certain classes of generating functions for the jacobi and related hypergeometric polynomials
學年 91
學期 1
出版（發表）日期 2002-12-01
作品名稱 Certain classes of generating functions for the jacobi and related hypergeometric polynomials
作品名稱（其他語言）
著者 張慧京; Chan, Whei-ching; 陳功宇; Chen, Kung-yu; Srivastava, H. M.
單位 淡江大學數學學系
出版者
著錄名稱、卷期、頁數 Computers and mathematics with applications 44(12), pp.1539-1556
摘要 For a certain class of generalized hypergeometric polynomials, the authors first derive a general theorem on bilinear, bilateral, and mixed multilateral generating functions and then apply these generating functions in order to deduce the corresponding results for the classical Jacobi and Laguerre polynomials. They also consider several linear generating functions for these polynomials as well as for some multivariable Jacobi and multivariable Laguerre polynomials which were investigated in recent years. Some of the linear generating functions, presented in this paper, are associated with the Stirling numbers of the second kind.
關鍵字 Generating functions; Jacobi polynomials; Laguerre polynomials; Hypergeometric polynomials; Stirling numbers of the second kind; Lauricella functions
語言 en
ISSN
期刊性質 國內
收錄於
產學合作
通訊作者
審稿制度 否
國別 TWN
公開徵稿
出版型式 ,電子版
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