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

Issue

Vol. 28 No. 1 (2015)

Section

Articles