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

页码：1875 / 1885

页数：11

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