A Second-Order Linear Ordinary Differential Equation (ODE)?

The term "hypergeometric function" sometimes refers to the generalized hypergeometric function. In mathematics, the Gaussian or ordinary hypergeometric function 2F1(a,b;c;z) is a special function represented by the hypergeometric series, that includes many other special functions as special or limiting cases. It is a solution of a second-order linear ordinary differential equation (ODE). Every second-order linear ODE with three regular singular points can be transformed into this equation