Abstract
In this thesis we studied the method of Riemann P-symbol which helped in finding solutions to homogeneous differential equations of second order of Fuchsian type equations with three singular points .In chapter one, we introduced some of the basics concepts and theorems in the complex variables that we need to know in this thesis . In chapter two, we study the differential equations of the Fuchsian type equations. In the last chapter, we study the detailed method of Riemann P-symbol, including the form of solution and present some of the linear transformations to obtain canonical form, and then create a relationship between the P-symbol equation and Hypergeometric Equation and then using this relationship, we express the solutions in terms of the Hypergeometric Function.