Ramanujan's continued fraction

zbMath0573.10001MaRDI QIDQ1063051

K. G. Ramanathan

Publication date: 1985

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

continued fractionsgeneralizationsRamanujan's work

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of number theory (11-03) Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70)

Related Items (19)

New theta-function identities and general theorems for the explicit evaluations of Ramanujan's continued fractions ⋮ On some generalizations of Ramanujan's continued fraction identities ⋮ Hypergeometric series and continued fractions ⋮ A note of a modular equation of Ramanujan-Selberg continued fraction ⋮ On some continued fraction expansions of the Rogers-Ramanujan type ⋮ Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations ⋮ Birth-death processes and $q$-continued fractions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Explicit evaluations of a Ramanujan-Selberg continued fraction ⋮ Explicit evaluations of a level 13 analogue of the Rogers-Ramanujan continued fraction ⋮ Some Theorems on the Rogers–Ramanujan Continued Fraction in Ramanujan’s Lost Notebook ⋮ Modularity of a Ramanujan-Selberg continued fraction ⋮ Unnamed Item ⋮ From a Ramanujan-Selberg continued fraction to a Jacobian identity ⋮ A new proof of Ramanujan's modular equation relating \(R(q)\) with \(R(q^{5})\) ⋮ The Rogers-Ramanujan continued fraction ⋮ Certain modular functions similar to the Dedekind eta function. ⋮ Modular equations and Ramanujan's Chapter 16, Entry 29

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