Volume 28, Issue 1
Wave Kernels with Bi-Inverse Square Potentials on Euclidean Plane

Mohamed Vall Ould Moustapha

J. Part. Diff. Eq., 28 (2015), pp. 9-22.

Published online: 2015-03

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  • 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.

  • Keywords

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

  • AMS Subject Headings

35J05 35J10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

khames@ustm.mr (Mohamed Vall Ould Moustapha)

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@Article{JPDE-28-9, author = {Moustapha , Mohamed Vall Ould }, title = {Wave Kernels with Bi-Inverse Square Potentials on Euclidean Plane}, journal = {Journal of Partial Differential Equations}, year = {2015}, volume = {28}, number = {1}, pages = {9--22}, 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.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v28.n1.2}, url = {http://global-sci.org/intro/article_detail/jpde/5098.html} }
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://dor.org/10.4208/jpde.v28.n1.2 UR - https://global-sci.org/intro/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 F2 hypergeometric functions. Our principal tools are the Hankel transforms and the special functions of mathematical physics.
Mohamed Vall Ould Moustapha. (2019). Wave Kernels with Bi-Inverse Square Potentials on Euclidean Plane. Journal of Partial Differential Equations. 28 (1). 9-22. doi:10.4208/jpde.v28.n1.2
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