Kampé de Fériet hypergeometric functions over finite fields (2212.14321v2)

Abstract: Kamp\'e de F\'eriet hypergeometric functions are two-variable hypergeometric functions, which are a generalization of Appell's functions. It is known that they satisfy many reduction and summation formulas. In this paper, we define Kamp\'e de F\'eriet hypergeometric functions over finite fields and show analogous formulas.