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

H. M. Srivastava; Junesang Choi; Anvar Hasanov

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

Analysis of PDEs 2012-01-31 v2 Mathematical Physics math.MP

Authors: H. M. Srivastava , Junesang Choi , Anvar Hasanov

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.

Keywords

helmholtz equation elliptic partial differential equations special functions and series expansions

Cite

@article{arxiv.0810.3979,
  title  = {Double-Layer Potentials for a Generalized Bi-Axially Symmetric Helmholtz Equation},
  author = {H. M. Srivastava and Junesang Choi and Anvar Hasanov},
  journal= {arXiv preprint arXiv:0810.3979},
  year   = {2012}
}

Comments

13

Related papers

View all related →