A unified presentation of some families of multivariable polynomials

被引：45
|
作者：
Erkus, Esra
Srivastava, H. M. [1 ]
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
[2] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2006年 / 17卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
multilinear and mixed multilateral generating functions; Chan-Chyan-Srivastava multivariable polynomials; explicit representation; Pochhammer symbol; Lagrange-Hermite polynomials; Lagrange polynomials; Srivastavas theorem; addition formulas; (differential) recurrence relations;
D O I：
10.1080/10652460500444928
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a systematic investigation of a unification (and generalization) of the Chan-Chyan-Srivastava multivariable polynomials and the multivariable extension of the familiar Lagrange-Hermite polynomials. We derive various classes of multilinear and mixed multilateral generating functions for these unified polynomials. We also discuss other miscellaneous properties of these general families of multivariable polynomials.
引用
收藏
页码：267 / 273
页数：7
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