Appell series F-1 over finite fields

作者：Li, Long^*; Li, Xin; Mao, Rui

来源：International Journal of Number Theory, 2018, 14(3): 727-738.

DOI：10.1142/S179304211850046X

• Appell series
• finite fields
• transformation and reduction formulas
• generating functions

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.

• 出版日期2018-4
• 单位华东师范大学