Analysis reveals specific identities for terminating q-series, suggesting deeper relations with adjacent series.
The paper systematically studies the contiguous relations of terminating 4 φ 3 -series. Utilizing several relations for the Ω λ,µ -series, we formulate specific identities for the terminating q -series with two integer parameters. Their limiting cases are presented in this paper. Additionally, the previous proof methods for the extension of the adjacent relation of terminating q-series are summarized and analysed.
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Xu Yong (2025) studied this question.
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