Miscellaneous properties of some multivariable polynomials

被引：9
|
作者：
Erkus-Duman, Esra [2 ]
Altin, Abdullah [1 ]
Aktas, Rabia [1 ]
机构：
[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
[2] Gazi Univ, Fac Sci & Arts, Dept Math, TR-06500 Ankara, Turkey
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 9-10期
关键词：
Chan-Chyan-Srivastava multivariable polynomials; Lagrange-Hermite multivariable polynomials; Erkus-Srivastava multivariable polynomials; Extended Jacobi polynomials; Integral representation; Recurrence relation; LAGRANGE POLYNOMIALS; EXTENSION; FAMILIES; JACOBI;
D O I：
10.1016/j.mcm.2011.04.010
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we present various integral representations for the Chan-Chyan-Srivastava, Lagrange-Hermite, Erkus-Srivastava multivariable polynomials and extended Jacobi polynomials. Then, we obtain some partial differential equations for the product of any two of them. We show that the Chan-Chyan-Srivastava multivariable polynomials are not orthogonal. We also discuss other miscellaneous properties of the Chan-Chyan-Srivastava, Lagrange-Hermite and Erkus-Srivastava multivariable polynomials. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1875 / 1885
页数：11
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