Differential Equations of General Genus Hyperelliptic $\wp$ Functions

TL;DR

This paper reviews Baker's method for deriving differential equations of hyperelliptic unctions and applies it to genus four, confirming previous results and advancing understanding of hyperelliptic function theory.

Contribution

It provides a detailed review of Baker's method and demonstrates its application to genus four hyperelliptic unctions, confirming earlier findings.

Findings

Derived differential equations for genus four hyperelliptic unctions

Validated previous results on hyperelliptic differential equations

Enhanced methods for studying hyperelliptic unctions

Abstract

We review the Baker's method to obtain differential equations of the general genus hyperelliptic $\wp$ functions. Further, we demonstrate to obtain differential equations of genus four hyperelliptic differential equations, which agree with our previous result.