Some general theorems on the explicit evaluations of Ramanujan's cubic continued fraction.

DOI10.1016/S0377-0427(03)00612-5zbMath1043.11042MaRDI QIDQ1414324

Nayandeep Deka Baruah, Nipen Saikia

Publication date: 20 November 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Ramanujan's cubic continued fractionTheta-functions

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Theta series; Weil representation; theta correspondences (11F27) Continued fractions (11A55) Elliptic functions and integrals (33E05) Applications of basic hypergeometric functions (33D90)

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Cites Work

• A certain quotient of eta-functions found in Ramanujan's lost notebook.
• Modular equations for Ramanujan's cubic continued fraction
• On Ramanujan's cubic continued fraction and explicit evaluations of theta-functions
• Evaluations of the Rogers–Ramanujan continued fraction R(q) by modular equations
• On Ramanujan's continued fraction
• On Russell-Type Modular Equations
• On Ramanujan's cubic continued fraction
• Ramanujan's class invariants and cubic continued fraction
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