Abstract
In this paper, we establish two transformation formulas for nonterminating basic hypergeometric series by using Carlitz’s inversions formulas and Jackson’s transformation formula. In terms of application, by specializing certain parameters in the two transformations, four Rogers-Ramanujan type identities associated with moduli 20 are obtained.
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This work was supported by the National Natural Science Foundation of China (12271234).
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Gu, J., Zhang, Z. Some new identities of Rogers-Ramanujan type. Acta Math Sci 44, 129–142 (2024). https://doi.org/10.1007/s10473-024-0106-2
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DOI: https://doi.org/10.1007/s10473-024-0106-2