Proofs for certain q-trigonometric identities of Gosper
Proofs for certain q-trigonometric identities of Gosper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.