More <i>q</i> -congruences from Singh’s quadratic transformation

Abstract In a recent paper, the first author obtained some q -congruences for truncated 4 ϕ 3 series from Singh’s quadratic transformation. In this paper, by applying Singh’s quadratic transformation again, we give some new q -congruences for truncated 3 ϕ 2 series. We also propose several related conjectures on q -congruences for further study.

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Publication Details

Journal
Mathematica Slovaca
Published
2025-10-01
DOI
https://doi.org/10.1515/ms-2025-0083
Primary Topic
Advanced Mathematical Identities
Type
article
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article

More q -congruences from Singh’s quadratic transformation

Xin Zhao, Victor J. W. Guo
Mathematica Slovaca
Advanced Mathematical Identities
article

More q -congruences from Singh’s quadratic transformation

Xin Zhao, Victor J. W. Guo
article en

Abstract

Abstract In a recent paper, the first author obtained some q -congruences for truncated 4 ϕ 3 series from Singh’s quadratic transformation. In this paper, by applying Singh’s quadratic transformation again, we give some new q -congruences for truncated 3 ϕ 2 series. We also propose several related conjectures on q -congruences for further study.

Mathematica SlovacaVol. 75(5)
Hangzhou Normal University (CN)
Openalex Percentile: Top 61%
Advanced Mathematical Identities
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More <i>q</i> -congruences from Singh’s quadratic transformation — Xin Zhao, Victor J. W. Guo · Mathematica Slovaca (2025) | TGRS Research Map | TGRS