Abstract

In this article, new functions, which satisfy certain systems of partial differential equations, are introduced. As an application, the self-similar and fundamental solutions of the second order multidimensional systems of partial differential equations with singular coefficients are constructed in explicit forms.

中文翻译：

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与多重合流超几何函数相关的一些偏微分方程组及其应用

摘要

在本文中，介绍了满足某些偏微分方程组的新函数。作为一种应用，具有奇异系数的二阶多维偏微分方程组的自相似基本解被构造为显式形式。