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

Results in Mathematics（2024）

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摘要

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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关键词

q-analogue,creative microscoping,transformation formula,cyclotomic polynomial,11A07,11B65

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