Symmetry (May 2021)

Two New Bailey Lattices and Their Applications

  • Zeya Jia,
  • Bilal Khan,
  • Praveen Agarwal,
  • Qiuxia Hu,
  • Xinjing Wang

DOI
https://doi.org/10.3390/sym13060958
Journal volume & issue
Vol. 13, no. 6
p. 958

Abstract

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In our present investigation, we develop two new Bailey lattices. We describe a number of q-multisums new forms with multiple variables for the basic hypergeometric series which arise as consequences of these two new Bailey lattices. As applications, two new transformations for basic hypergeometric by using the unit Bailey pair are derived. Besides it, we use this Bailey lattice to get some kind of mock theta functions. Our results are shown to be connected with several earlier works related to the field of our present investigation.

Keywords