English

Some double series for $\pi$ and their $q$-analogues

Combinatorics 2023-03-16 v3

Abstract

By applying the partial derivative operator to several summation formulas for hypergeometric series, we prove several double series for π\pi in this paper. Similarly, we also establish several qq-analogues of them.

Keywords

Cite

@article{arxiv.2301.12932,
  title  = {Some double series for $\pi$ and their $q$-analogues},
  author = {Guoping Gu and Xiaoxia Wang},
  journal= {arXiv preprint arXiv:2301.12932},
  year   = {2023}
}