Further q-Supercongruences from Singh's Quadratic Transformation
Wei-Wei Qi
TL;DR
This paper explores new q-congruences related to truncated basic hypergeometric series using Singh's quadratic transformation and the creative microscoping method, advancing the understanding of q-series congruences.
Contribution
It introduces novel q-congruences for truncated ${}_{4} phi_3$ series utilizing Singh's quadratic transformation and the creative microscoping technique.
Findings
Derived new q-congruences for truncated ${}_{4} phi_3$ series.
Applied Singh's quadratic transformation in the context of q-congruences.
Utilized the creative microscoping method to establish these results.
Abstract
In this paper, we investigate some q-congruences for truncated series by using Singh's quadratic transformation and the creative microscoping method (introduced by Victor J. W. Guo and Zudilin in 2019).
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Advanced Mathematical Theories and Applications