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Some New Transformation Formulas for <i>q</i>-Series through the Bailey Transform
School of Science, Zhejiang Sci-Tech University, Hangzhou, China
School of Science, Zhejiang Sci-Tech University, Hangzhou, China
- 1 School of Science, Zhejiang Sci-Tech University, Hangzhou, China
- 2 School of Science, Zhejiang Sci-Tech University, Hangzhou, China
Advances in Pure Mathematics·Volume 13 (2023)·Pages 651–661·Published 10 October 2023·DOI10.4236/apm.2023.1310045
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Abstract
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.
Keywords<i>q</i>-SeriesBailey TransformTransformation FormulasRogers-Ramanujan Identities
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