Solution of Gaussian Hypergeometric Differential Equation Through Fixed Point Theorems

Abstract

The fixed-point theorem is a fundamental result in mathematics that establishes the existence of a fixed point for certain types of functions. A fixed point of a function is a point in the domain of the function that maps to itself under the given function. The most well-known and widely used fixed-point theorem is the Banach fixed-point theorem. Brouwer’s theorem and Katutani fixed point theorems are the extension of the Banach fixed point theorems. Similarly, Hypergeometric differential equations are a class of differential equations that arise in mathematics and physics.