Some new formulas for Appell series over finite fields

Abstract

In 1987 Greene introduced the notion of the finite field analogue of hypergeometric series. In this paper we give a finite field analogue of Appell series and obtain some transformation and reduction formulas. We also establish the generating functions for Appell series over finite fields.

References in corpus (1)

• Multiple hypergeometric series -- Appell series and beyond

Cited by in corpus (3)

• A Lauricella hypergeometric series over finite fields
• A Cubic Transformation Formula for Appell-Lauricella Hypergeometric Functions over Finite Fields
• An Appell series over finite fields