Hypergeometric foundations of Fokker-Plank like equations

TL;DR

This paper demonstrates that Fokker-Planck equations can be derived from Hypergeometric differential equations, including their nonlinear generalizations, providing a new mathematical foundation for these equations.

Contribution

It introduces a novel derivation of Fokker-Planck equations from Hypergeometric equations, extending to nonlinear cases, thus offering a new theoretical perspective.

Findings

Fokker-Planck equations can be derived from Hypergeometric differential equations.

The derivation extends to nonlinear generalizations of these equations.

Provides a new mathematical foundation for Fokker-Planck equations.

Abstract

We show that the Fokker Planck equation can be derived from a Hypergeometric differential equation. The same applies to a non linear generalization of such equation.