Proofs for certain q-trigonometric identities of Gosper

作     者：Bing He Hongcun Zhai Bing He;Hongcun Zhai

作者机构：School of Mathematics and StatisticsCentral South UniversityChangsha 410083China Department of MathematicsLuoyang Normal UniversityLuoyang 471934China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2020年第63卷第12期

页      面：2415-2422页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China(Grant No.11801451).supported by National Natural Science Foundation of China(Grant No.11371184) the Natural Science Foundation of Henan Province(Grant Nos.162300410086,2016B259 and 172102410069) 

主　　题：Jacobi theta function addition formula q-trigonometric identity constantΠq 

摘      要：Applying an addition formula of Liu(2007),we deduce certain Jacobi theta function *** these results we confirm several q-trigonometric identities *** by Gosper(2001).Another conjectured identity on the constant Πq is also settled.