A finite field analogue for Appell series F_3
Bing He
TL;DR
This paper introduces a finite field analogue of the Appell series F_3, providing new reduction formulas and generating functions to extend the understanding of these special functions in finite field contexts.
Contribution
The paper presents the first finite field analogue for the Appell series F_3, along with reduction formulas and generating functions, advancing finite field special function theory.
Findings
Finite field analogue of Appell series F_3 introduced
Derived reduction formulas for the finite field F_3 analogue
Established generating functions for the finite field F_3 analogue
Abstract
In this paper we introduce a finite field analogue for the Appell series F_3 and give some reduction formulae and certain generating functions for this function over finite fields.
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Taxonomy
TopicsAdvanced Mathematical Identities · Coding theory and cryptography · Polynomial and algebraic computation