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Hidden q-analogues of Ramanujan-like \(\pi \)-series

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Abstract

By examining known q-series identities, we derive q-analogues of several \(\pi \)-related infinite series, including some of Ramanujan’s series for \(1/\pi \).

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Authors and Affiliations

  1. School of Statistics, Qufu Normal University, Qufu, Shandong, People’s Republic of China

    Xiaojing Chen

  2. School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou, Henan, People’s Republic of China

    Wenchang Chu

  3. Department of Mathematics and Physics, University of Salento, P. O. Box 193, 73100, Lecce, Italy

    Wenchang Chu

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  1. Xiaojing Chen
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  2. Wenchang Chu
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Correspondence to Xiaojing Chen or Wenchang Chu.

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The first author is supported, during this work, by the Natural Science Foundation of Shandong Province of China under Grant No. ZR2017QA012. This work was conducted during a visit to DIMACS partially enabled through support from the National Science Foundation under Grant No. CCF-1445755.

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Chen, X., Chu, W. Hidden q-analogues of Ramanujan-like \(\pi \)-series. Ramanujan J 54, 625–648 (2021). https://doi.org/10.1007/s11139-019-00192-7

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