The Yukawa Potential Function and Reciprocal Univalent Function
Journal: Journal of Advances in Physics (Vol.3, No. 2)Publication Date: 2013-11-26
Authors : Amir Pishkoo; Maslina Darus;
Page : 197-202
Keywords : Strong and weak nuclear force; Univalent functions; Meromorphic univalent functions; reciprocal theorem; Meijer's G-function.;
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.
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