Two New Mock Theta Double Sums  

作　　者：Jizhen YANG Hanfei SONG Zhizheng ZHANG 

机构地区：[1]Department of Mathematics,Luoyang Normal University,Henan 471934,P.R.China [2]Department of Mathematics,Shanghai Normal University,Shanghai 200234,P.R.China [3]College of Mathematics and Information Science,Henan Normal University,Henan 453001,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2023年第2期227-233,共7页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant Nos. 11871258;12271234);the Young Backbone Teachers in Henan Province (Grant No. 2020GGJS194);the First-Class Courses in Henan Province (Grant No.[2020]13099);the Young Backbone Teachers in Luoyang Normal College (Grant No. 2019XJGGJS10)。

摘　　要：Recently, Zhang and Li presented five mock theta functions as q-hypergeometric double sums by using a Bailey pair. In this paper, employing the same Bailey pair, we further establish two new mock theta double sums in terms of Appell-Lerch sums and theta series.Indeed, identities between a new mock theta function and classical mock theta functions are obtained.

关 键 词：mock theta double sums Bailey pair Appell-Lerch sums theta series 

分 类 号：O174[理学—数学]