The Yukawa Potential Function and Reciprocal Univalent Function
DOI:
https://doi.org/10.24297/jap.v3i2.2072Keywords:
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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