The Dixonian elliptic functions
P.L. Robinson
TL;DR
This paper provides a detailed development of Dixonian elliptic functions with parameter zero, focusing on their derivation from initial value problems and exploring their mathematical properties.
Contribution
It introduces a comprehensive analysis of Dixonian elliptic functions specifically for the case lpha=0, including their foundational derivation from initial value problems.
Findings
Explicit solutions to the initial value problem for Dixonian elliptic functions.
Characterization of the properties and behaviors of these functions.
Potential applications in complex analysis and elliptic function theory.
Abstract
We offer a careful development of the Dixonian elliptic functions with parameter from the initial value problem of which they are solutions.
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Taxonomy
TopicsMathematics and Applications · Mathematical functions and polynomials · Functional Equations Stability Results