Another finite field analogue for Appell series F_{1}

TL;DR

This paper introduces a new finite field analogue for the Appell series F_{1} and derives reduction formulas and a generating function for it, expanding the understanding of finite field hypergeometric functions.

Contribution

The paper presents a novel finite field analogue for Appell series F_{1} along with new reduction formulas and a generating function, advancing finite field hypergeometric function theory.

Findings

Established a new finite field analogue for Appell series F_{1}

Derived reduction formulas for the new analogue

Developed a generating function for the analogue

Abstract

In this paper we introduce another finite field analogue for Appell series F_{1} and obtain certain reduction formulae and a generating function for this analogue.