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



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.


Full Text-PDF