MULTIVARIABLE MATRIX GENERALIZATION OF GOULD-HOPPER POLYNOMIALS

被引：8

作者：

Cekim, Bayram ^{[1
]}

Aktas, Rabia ^{[1
]}

机构：

[1] Gazi Univ, Fac Sci, Dept Math, Ankara, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2015年 / 16卷 / 01期

关键词：

Gould-Hopper polynomials; generating matrix function; matrix recurrence relation; matrix differential equation; DIFFERENTIAL-EQUATIONS; HERMITE POLYNOMIALS;

D O I：

10.18514/MMN.2015.1112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main object of this investigation is to define a multivariable matrix generalization of Gould-Hopper polynomials and to reveal some relations such as matrix generating function, matrix recurrence relation, matrix differential equation for them. Furthermore, more general families of bilinear and bilateral matrix generating functions are obtained for these matrix polynomials.

引用

页码：79 / 89

页数：11

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