A family of theta-function identities based upon Rα,Rβ and Rm-functions related to Jacobi’s triple-product identity
DOI10.2298/PIM2022023CzbMath1474.11111OpenAlexW3109669098MaRDI QIDQ4985685
Publication date: 24 April 2021
Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2298/pim2022023c
Rogers-Ramanujan identitiesRamanujan's theta functionsRogers-Ramanujan continued fractionEuler's pentagonal number theoremJacobi's triple-product identitytheta-function identities\(q\)-product identities\(R_m\)-functions
(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Theta series; Weil representation; theta correspondences (11F27)
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- Some new modular relations for the Rogers-Ramanujan type functions of order eleven with applications to partitions
- Some iterated fractional \(q\)-integrals and their applications
- On Ramanujan's cubic continued fraction and explicit evaluations of theta-functions
- From partition identities to a combinatorial approach to explicit Satake inversion
- Theta-function identities and the explicit formulas for theta-function and their applications
- Combinatorial proofs of generating function identities for F-partitions
- Double series representations for Schur's partition function and related identities
- A family of theta-function identities related to Jacobi's triple-product identity
- A note on a continued fraction of Ramanujan
- FIVE RELATIONSHIPS BETWEEN CONTINUED FRACTION IDENTITIES, q-PRODUCT IDENTITIES AND COMBINATORIAL PARTITION IDENTITIES
- A continued fraction of Ramanujan and some Ramanujan-Weber class invariants
- CERTAIN RELATIONSHIPS BETWEEN q-PRODUCT IDENTITIES, COMBINATORIAL PARTITION IDENTITIES AND CONTINUED-FRACTION IDENTITIES
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