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arXiv · 0810.3979

Double-Layer Potentials for a Generalized Bi-Axially Symmetric Helmholtz Equation

H. M. Srivastava·Junesang Choi·Anvar Hasanov
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Abstract

The double-layer potential plays an important r$\hat{\rm o}$le in solving boundary value problems of elliptic equations. Here, in this paper, we aim at introducing and investigating double layer potentials for a generalized bi-axially symmetric Helmholtz equation. By using some properties of one of Appell's hypergeometric functions in two variables, we prove limiting theorems and derive integral equations concerning a denseness of double-layer potentials.

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H. M. Srivastava, Junesang Choi, Anvar Hasanov. 2008-10-22. Double-Layer Potentials for a Generalized Bi-Axially Symmetric Helmholtz Equation. https://arxiv.org/abs/0810.3979

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