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Further Generalizations of the (A.2) and (H.2) Supercongruences of Van Hamme

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Abstract

In this paper, in view of the transformation formulas for basic hypergeometric series and the creative microscoping method introduced by Guo and Zudilin, we establish new q-analogues of Van Hamme’s (A.2) and (H.2) supercongruences with two parameters

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Funding

This research is supported by the National Natural Science Foundation of China (Grant No. 12001376) and Shanghai Rising–Star Program (Grant No. 23QA1407300).

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Authors and Affiliations

  1. College of Mathematics and Statistics, Xinyang Normal University, Xinyang, 464000, People’s Republic of China

    Hanfei Song

  2. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People’s Republic of China

    Chun Wang

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  1. Hanfei Song
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  2. Chun Wang
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Correspondence to Chun Wang.

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Song, H., Wang, C. Further Generalizations of the (A.2) and (H.2) Supercongruences of Van Hamme. Results Math 79, 147 (2024). https://doi.org/10.1007/s00025-024-02175-7

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