TY - JOUR
T1 - Wave Kernels with Bi-Inverse Square Potentials on Euclidean Plane
AU - Moustapha , Mohamed Vall Ould
JO - Journal of Partial Differential Equations
VL - 1
SP - 9
EP - 22
PY - 2015
DA - 2015/03
SN - 28
DO - http://doi.org/10.4208/jpde.v28.n1.2
UR - https://global-sci.org/intro/article_detail/jpde/5098.html
KW - Inverse square potential
KW - wave equation
KW - Hankel transform
KW - Bessl functions
KW - F_2-Appell hypergeometric function
AB -  The Cauchy problemfor the wave equation with bi-inverse square potential on Euclidean plane is solved in terms of the two variables Appell F<sub>2</sub> hypergeometric functions. Our principal tools are the Hankel transforms and the special functions of mathematical physics.