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引用次数: 2
摘要
本文的主要目的是向(Bin-Saad, Maged G., Antar, a . Al-Sayaad, 2015)中定义的两变量Laguerre矩阵多项式的数学性质和表示提出一个自然的进一步步骤。用符号运算图像研究两变量拉盖尔多项式。亚洲人的数学。与第一版。研究,2(1),42-50。建立了这些多项式的级数展开式、积分变换以及双线性和双侧生成矩阵函数。本文还考虑了一些特殊情况和我们的主要结果的后果。
A note on two variable Laguerre matrix polynomials
The principal object of this paper is to present a natural further step toward the mathematical properties and presentations concerning the two variable Laguerre matrix polynomials defined in (Bin-Saad, Maged G., Antar, A. Al-Sayaad, 2015. Study of two variable Laguerre polynomials via symbolic operational images. Asian J. of math. and comput. research, 2(1), 42–50). Series expansions, integral transforms and bilinear and bilateral generating matrix functions for these polynomials are established. Some particular cases and consequences of our main results are also considered.