Double series for $\pi$ and their $q$-analogues
Combinatorics
2022-10-05 v1
Abstract
With the help of the partial derivative operator and several summation formulas for hypergeometric series, we find three double series for . In terms of the operator just stated and several summation formulas for basic hypergeometric series, we also establish -analogues of these double series.
Keywords
Cite
@article{arxiv.2210.01331,
title = {Double series for $\pi$ and their $q$-analogues},
author = {Chuanan Wei and Guozhu Ruan},
journal= {arXiv preprint arXiv:2210.01331},
year = {2022}
}