SOME FAMILIES OF GENERATING-FUNCTIONS FOR THE JACOBI-POLYNOMIALS

被引：2

作者：

SRIVASTAVA, HM ^{[1
]}

GUPTA, LC ^{[1
]}

机构：

[1] PUNJAB ENGN COLL,DEPT APPL SCI,CHANDIGARH 160012,INDIA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1995年 / 29卷 / 04期

关键词：

GENERATING FUNCTIONS; JACOBI POLYNOMIALS; GAUSS HYPERGEOMETRIC FUNCTION; LAURICELLA FUNCTIONS; KAMPE DE FERIET FUNCTION; BATEMANS PRODUCT FORMULA;

D O I：

10.1016/0898-1221(94)00235-D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors derive a unification and generalization of several families of linear, bilinear, and bilateral generating functions for the classical Jacobi polynomials, which were given in extended further to hold true for the product of two Jacobi polynomials of different arguments. Relevant historical remarks and observations, and connections with other works on applications of some of these generating functions, are presented rather briefly.

引用

页码：29 / 35

页数：7

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