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The Yukawa Potential Function and Reciprocal Univalent Function

Journal: Journal of Advances in Physics (Vol.3, No. 2)

Publication Date:

Authors : ; ;

Page : 197-202

Keywords : Strong and weak nuclear force; Univalent functions; Meromorphic univalent functions; reciprocal theorem; Meijer's G-function.;

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Abstract

This paper presents a mathematical model that provides analytic connection between four fundamental forces (interactions), by using modified reciprocal theorem,derived in the paper, as a convenient template. The essential premise of this work is to demonstrate that if we obtain with a form of the Yukawa potential function [as a meromorphic univalent function], we may eventually obtain the Coloumb Potential as a univalent function outside of the unit disk. Finally, we introduce the new problem statement about assigning Meijer's G-functions to Yukawa and Coloumb potentials as an open problem.

Last modified: 2015-01-16 15:33:02