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On the Andrews–Yee Identities Associated with Mock Theta Functions

  • Jin Wang
  • Xinrong MaEmail author
Article
  • 7 Downloads

Abstract

In this paper, we generalize the Andrews–Yee identities associated with the third-order mock theta functions \(\omega (q)\) and \(\nu (q)\). We obtain some q-series transformation formulas, one of which gives a new Bailey pair. Using the classical Bailey lemma, we derive a product formula for two \({}_2\phi _1\) series. We also establish recurrence relations and transformation formulas for two finite sums arising from the Andrews–Yee identities.

Keywords

Mock theta functions Bailey pair The WZ method Transformation formulas 

Mathematics Subject Classification

Primary 33D15 Secondary 05A30 11P81 

Notes

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsZhejiang Normal UniversityJinHuaPeople’s Republic of China
  2. 2.Department of MathematicsSoochow UniversitySuzhouPeople’s Republic of China

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