Proofs for certain q-trigonometric identities of Gosper  

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作  者:Bing He Hongcun Zhai 

机构地区:[1]School of Mathematics and Statistics,Central South University,Changsha 410083,China [2]Department of Mathematics,Luoyang Normal University,Luoyang 471934,China

出  处:《Science China Mathematics》2020年第12期2415-2422,共8页中国科学:数学(英文版)

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)。

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 con.jectured by Gosper(2001).Another conjectured identity on the constant Πq is also settled.

关 键 词:Jacobi theta function addition formula q-trigonometric identity constantΠq 

分 类 号:O174[理学—数学]

 

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