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Summation Formulae for Quintic q -Series

Author

Listed:
  • Wenchang Chu

    (School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China
    Department of Mathematics and Physics, University of Salento, P.O. Box 193, 73100 Lecce, Italy)

Abstract

By utilizing the modified Abel lemma on summation by parts, we examine a class of quintic q -series, that have close connections to the “twisted cubic q -series”. Several remarkable summation and transformation formulae are established. The related reversal series are also reviewed briefly.

Suggested Citation

  • Wenchang Chu, 2022. "Summation Formulae for Quintic q -Series," Mathematics, MDPI, vol. 10(13), pages 1-12, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2210-:d:847047
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