Proofs for certain q-trigonometric identities of Gosper

被引：0
|
作者：
Bing He
Hongcun Zhai
机构：
[1] Central South University,School of Mathematics and Statistics
[2] Luoyang Normal University,Department of Mathematics
来源：
Science China Mathematics | 2020年 / 63卷
关键词：
Jacobi theta function; addition formula; -trigonometric identity; constant Π; 11F27; 33E05; 11E25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Applying an addition formula of Liu (2007), we deduce certain Jacobi theta function identities. From these results we confirm several q-trigonometric identities conjectured by Gosper (2001). Another conjectured identity on the constant Πq is also settled.
引用
收藏
页码：2415 / 2422
页数：7
相关论文
共 50 条
12345