On some instances of Fox's Integral Equation
Alexander E. Patkowski
TL;DR
This paper explores specific cases of Fox's integral equation, presenting new solutions and discussing their implications in number theory, thereby expanding the understanding of this mathematical framework.
Contribution
It introduces novel solutions to Fox's integral equation and connects these solutions to problems in number theory.
Findings
New solutions to Fox's integral equation are identified.
Connections between Fox's integral equation and number theory are established.
The paper enhances the theoretical understanding of Fox's integral equation.
Abstract
We consider some applications of the non-homogeneous second order integral equation of Fox. Some new solutions to Fox's integral equation are discussed in relation to number theory.
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Taxonomy
TopicsFractional Differential Equations Solutions · Iterative Methods for Nonlinear Equations · Mathematical functions and polynomials