Wave Kernels with Bi-Inverse Square Potentials on Euclidean Plane

Mohamed Vall Ould Moustapha

doi:10.4208/jpde.v28.n1.2

Wave Kernels with Bi-Inverse Square Potentials on Euclidean Plane

Authors

Mohamed Vall Ould Moustapha Université des Sciences, de Technologie et de la Médecine (USTM), Faculté des Sciences et Techniques

DOI:

https://doi.org/10.4208/jpde.v28.n1.2

Keywords:

Inverse square potential;wave equation;Hankel transform;Bessl functions;F_2-Appell hypergeometric function

Abstract

The Cauchy problemfor the wave equation with bi-inverse square potential on Euclidean plane is solved in terms of the two variables Appell F₂ hypergeometric functions. Our principal tools are the Hankel transforms and the special functions of mathematical physics.

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Published

2015-03-05

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Issue

Vol. 28 No. 1 (2015)

Section

Articles

How to Cite

Wave Kernels with Bi-Inverse Square Potentials on Euclidean Plane. (2015). Journal of Partial Differential Equations, 28(1), 9-22. https://doi.org/10.4208/jpde.v28.n1.2