Some Identities Involving Rogers-Ramanujan-Type Functions
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Publication:4143383
DOI10.1112/jlms/s2-16.1.9zbMath0367.10010OpenAlexW2038293840MaRDI QIDQ4143383
Publication date: 1977
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/jlms/s2-16.1.9
Classical hypergeometric functions, ({}_2F_1) (33C05) Partition identities; identities of Rogers-Ramanujan type (11P84)
Related Items (12)
On modular relations for the Göllnitz-Gordon functions with application to partitions ⋮ Some modular relations analogues to the Ramanujan's forty identities with its applications to partitions ⋮ Modular equations for cubes of the Rogers-Ramanujan and Ramanujan-Göllnitz-Gordon functions and their associated continued fractions ⋮ Some new proofs of modular relations for the Göllnitz-Gordon functions ⋮ Ramanujan's ``lost notebook. III: The Rogers-Ramanujan continued fraction ⋮ On Rogers–Ramanujan functions, binary quadratic forms and eta-quotients ⋮ Modular relations for the Rogers-Ramanujan functions with applications to partitions ⋮ Some modular relations for the Göllnitz-Gordon functions and Ramanujan's modular equations ⋮ Several identities for certain products of theta functions ⋮ On conjectures of Koike and Somos for modular identities for the Rogers–Ramanujan functions ⋮ New modular relations for the Göllnitz-Gordon functions. ⋮ Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
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