The Lagrange polynomials in several variables

被引：70

作者：

Chan, WCC ^{[1
]}

Chyan, CJ

Srivastava, HM

机构：

[1] Tamkang Univ, Dept Math, Tamsui 25137, Taiwan

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2001年 / 12卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Lagrange polynomials; Jacobi polynomials; fractional calculus; Lauricella functions; generating functions; Stirling numbers; Cauchy product; addition formula; (differential) recurrence relation;

D O I：

10.1080/10652460108819340

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors introduce (and investigate various properties and characteristics of) a multivariable extension of the familiar Lagrange polynomials which are known to occur in certain problems in statistics. The main object of this paper is to present various families of linear, multilinear, and mixed multilateral generating functions for these multivariable Lagrange polynomials. Relevant connections of these results with those given earlier are also considered.

引用

页码：139 / 148

页数：10