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Two new bailey lattices and their applications

  • Huanghuai University
  • East China Normal University
  • International College of Engineering
  • International Center for Basic and Applied Sciences
  • Luoyang Normal University

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

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.

Original languageEnglish
Article number958
JournalSymmetry
Volume13
Issue number6
DOIs
StatePublished - Jun 2021

Keywords

  • Bailey pair
  • Bailey transform
  • Basic hypergeometric series
  • Q-series

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