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- W4385848900 abstract "In this paper, we investigate applications of the ordinary derivative operator, instead of the $q$-derivative operator, to the theory of $q$-series. As main results, many new summation and transformation formulas are established which are closely related to some well-known formulas such as the $q$-binomial theorem, Ramanujan's ${}_1psi_1$ formula, the quintuple product identity, Gasper's $q$-Clausen product formula, and Rogers' ${}_6phi_5$ formula, etc. Among these results is a finite form of the Rogers-Ramanujan identity and a short way to Eisenstein's theorem on Lambert series." @default.
- W4385848900 created "2023-08-16" @default.
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- W4385848900 date "2023-08-13" @default.
- W4385848900 modified "2023-09-25" @default.
- W4385848900 title "Some q-Identities derived by the ordinary derivative operator" @default.
- W4385848900 doi "https://doi.org/10.48550/arxiv.2308.06800" @default.
- W4385848900 hasPublicationYear "2023" @default.
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