Some new identities for a continued fraction of Ramanujan

DOI10.1007/S11565-016-0239-XzbMath1339.33019OpenAlexW2277250573MaRDI QIDQ292112

Nipen Saikia

Publication date: 10 June 2016

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-016-0239-x

zbMATH Keywords

continued fractionmodular equationexplicit evaluationRamanujan's theta-function

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70)

Cites Work

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• Modular relations and explicit values of Ramanujan-Selberg continued fractions
• Some \(q\)-continued fractions of Ramanujan, their explicit values, and equalities
• Explicit evaluations of Ramanujan-Göllnitz-Gordon continued fraction
• Partition identities arising from theta function identities
• Some new explicit values of Ramanujan-Selberg continued fraction
• Theta-function identities and the explicit formulas for theta-function and their applications
• Some new proofs of modular relations for the Göllnitz-Gordon functions

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