Proof that the Natural Logarithm Can Be Represented by the Gaussian Hypergeometric Function
1 Pages Posted: 18 Sep 2017
Date Written: 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.
Keywords: Gaussian, Hypergeometric, Function, Series, ODE, Natural Logarithm
JEL Classification: C00, C30, C02
Suggested Citation: Suggested Citation