Download this Paper Open PDF in Browser

Proof that the Natural Logarithm Can Be Represented by the Gaussian Hypergeometric Function

1 Pages Posted: 18 Sep 2017  

Christopher Paul Nofal

Northwestern University School of Law; University of Florida College of Engineering

Date Written: September 18, 2006

Abstract

The Gaussian or ordinary hypergeometric function is a special function represented by the hypergeometric series that includes many other special functions as speci fic 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

Nofal, Christopher Paul, Proof that the Natural Logarithm Can Be Represented by the Gaussian Hypergeometric Function (September 18, 2006). Available at SSRN: https://ssrn.com/abstract=3037643

Christopher Nofal (Contact Author)

Northwestern University School of Law ( email )

375 East Chicago Ave
Chicago, IL 60611
United States

HOME PAGE: http://www.chrisnofal.com

University of Florida College of Engineering ( email )

303 Weil Hall
Gainesville, FL 32611-6595
United States

Paper statistics

Downloads
432
Rank
56,149
Abstract Views
3,877