We propose a matrix analogue of a general inverse series relation with an objective to introduce the generalized Humbert matrix polynomial, Wilson matrix polynomial, and the Rach matrix polynomial together with their inverse series representations. The matrix polynomials of Kiney, Pincherle, Gegenbauer, Hahn, Meixner-Pollaczek etc. occur as the special cases. It is also shown that the general inverse matrix pair provides the extension to several inverse pairs due to John Riordan [ An Introduction to Combinatorial Identities , Wiley, 1968].

中文翻译：

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一般逆矩阵级数关系和相关多项式– II

我们提出了一个一般反序列关系的矩阵类似物，目的是介绍广义的Humbert矩阵多项式，Wilson矩阵多项式和Rach矩阵多项式及其反序列表示。Kiney，Pincherle，Gegenbauer，Hahn，Meixner-Pollaczek等的矩阵多项式是特殊情况。还显示出由于约翰·里尔丹[组合身份简介，威利，1968]，通用逆矩阵对提供了对多个逆对的扩展。