TITLE:
Some New Transformation Formulas for q-Series through the Bailey Transform
AUTHORS:
Lijun Hao, Liangliang Xu
KEYWORDS:
q-Series, Bailey Transform, Transformation Formulas, Rogers-Ramanujan Identities
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.13 No.10,
October
18,
2023
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.