Appell series F1 over finite fields

被引：11
|
作者：
Li, Long [1 ]
Li, Xin [1 ]
Mao, Rui [1 ]
机构：
[1] East China Normal Univ, Dept Math, 500 Dongchuan Rd, Shanghai 200241, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2018年 / 14卷 / 03期
关键词：
Appell series; finite fields; transformation and reduction formulas; generating functions;
D O I：
10.1142/S179304211850046X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：727 / 738
页数：12
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