Journal of East China Normal University(Natural Science) ›› 2022, Vol. 2022 ›› Issue (6): 1-7.doi: 10.3969/j.issn.1000-5641.2022.06.001

• Mathematics •     Next Articles

Several q-congruences on a double series

Chuan’an WEI(), Tong YU*()   

  1. School of Biomedical Information and Engineering, Hainan Medical University, Haikou 571199, China
  • Received:2021-01-14 Online:2022-11-25 Published:2022-11-22
  • Contact: Tong YU E-mail:weichuanan78@163.com;ythainmc@163.com

Abstract:

There are rare $q $ -congruences on double series in the literature. In this paper, we present several $q $ -congruences involving double series. When $q $ tends to 1, the proposed approach provides the corresponding conclusions for congruences.

Key words: congruence, $q$-congruence, $q$-series, Watson’s ${}_8{\phi _7}$ transformation formula

CLC Number: