SSRN, Abstract ID No. 3037643, September 18, 2006
The Gaussian or ordinary hypergeometric function is a special function represented by the hypergeometric series that includes many other special functions as specific 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. This paper claims that the natural logarithm can be represented by the Gaussian hypergeometric function.