Solutions of Generalized Euler-Poisson-Darboux Equation and Their Properties
Iyaya Wanjala* and Isaac Chepkwony
Review I Published October,2016
Journal of Physical Science and Environmental Studies Vol. 2 (3), pp. 38-45
ABSTRACT
The subject of this paper is the study of classical EPD
equation in 
variables,
which in its full generality has been investigated
extensively. We consider the equation
Where
are
real or complex parameters and that
We
construct general solutions in an explicit form expressed by
the Appell and Lauricella hypergeometric functions of
variables.
Furthermore, the properties of each constructed solution are
investigated.
Key Words: Appell and Lauricella hypergeometric functions of variables, Generalized Euler-Poisson-Darboux Equation.
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