论文标题
关于角矩阵函数及其汇合病例的研究
A study on Horn matrix functions and its confluent cases
论文作者
论文摘要
在本文中，我们给出了Horn的超几何功能及其汇合案例的矩阵版本。我们还讨论了收敛的区域，即双侧类型的基质微分方程，差分公式和无限求和公式，这些超几何矩阵函数满足。我们还提供了这些超几何矩阵函数的某些积分表示。对这23个矩阵函数的研究导致完成了Horn 34个超几何序列列表的基质概括。
In this paper, we give the matrix version of Horn's hypergeometric function and its confluent cases. We also discuss the regions of convergence, the system of matrix differential equations of bilateral type, differential formulae and infinite summation formulae satisfied by these hypergeometric matrix functions. We also give the certain integral representation of these hypergeometric matrix functions. The study of these 23 matrix functions leads to completing the matrix generalization of Horn's list of 34 hypergeometric series.
