Some New Transformation Formulas for q-Series through the Bailey Transform  

作　　者：Lijun Hao Liangliang Xu Lijun Hao;Liangliang Xu(School of Science, Zhejiang Sci-Tech University, Hangzhou, China)

机构地区：[1]School of Science, Zhejiang Sci-Tech University, Hangzhou, China

出　　处：《Advances in Pure Mathematics》2023年第10期651-661,共11页理论数学进展（英文）

摘　　要：In the literature, the Bailey transform has many applications in basic hypergeometric series. In this paper, we derive many new transformation formulas for q-series by means of the Bailey transform. Meanwhile, We also obtain some new terminated identities. Furthermore, we establish a companion identity to the Rogers-Ramanujan identity labelled by number (23) on Slater’s list.In the literature, the Bailey transform has many applications in basic hypergeometric series. In this paper, we derive many new transformation formulas for q-series by means of the Bailey transform. Meanwhile, We also obtain some new terminated identities. Furthermore, we establish a companion identity to the Rogers-Ramanujan identity labelled by number (23) on Slater’s list.

关 键 词：Q-SERIES Bailey Transform Transformation Formulas Rogers-Ramanujan Identities 

分 类 号：O17[理学—数学]