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arXiv · 1910.05264

The generalized Holmgren problem for elliptic equation with several singular coefficients

Tuhtasin Ergashev
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Abstract

Recently found all the fundamental solutions of a multidimensional singular elliptic equation are expressed in terms of the well-known Lauricella hypergeometric function in many variables. In this paper, we find a unique solution of the generalized Holmgren problem for an elliptic equation with several singular coefficients in explicit form. When finding a solution, we use decomposition formulas and some adjacent relations for the Lauricella hypergeometric function in many variables.

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Tuhtasin Ergashev. 2019-10-11. The generalized Holmgren problem for elliptic equation with several singular coefficients. https://arxiv.org/abs/1910.05264

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