A q-analogue of Gosper’s strange evaluation of the hypergeometric series

期刊论文
发表日期：

2026年2月16日

查看全文

Yuka Yamaguchi

摘要

In 1977, Gosper conjectured many strange evaluations of hypergeometric series. One of them is a -series identity with two free parameters, which has since been proved by several researchers using different methods. In this paper, we present a q-analogue of the -series identity, along with a generalization, by using three-term relations for the basic hypergeometric series.