Some new explicit values of the parameters \(s_n\) and \(t_n\) connected with Rogers-Ramanujan continued fraction and applications

DOI10.1007/s13370-013-0165-3zbMath1303.11052OpenAlexW1980035504MaRDI QIDQ485451

Nipen Saikia

Publication date: 9 January 2015

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-013-0165-3

zbMATH Keywords

Rogers-Ramanujan continued fractioneta-functionRamanujan's class invariants

Mathematics Subject Classification ID

Continued fractions (11A55) Dedekind eta function, Dedekind sums (11F20) Applications of basic hypergeometric functions (33D90)

Related Items (4)

Some new general theorems for the explicit evaluations of the Rogers-Ramanujan continued fraction ⋮ Unnamed Item ⋮ New general theorems and explicit values of the level 13 analogue of Rogers-Ramanujan continued fraction ⋮ Some properties, explicit evaluations, and applications of Ramanujan's remarkable product of theta functions

Cites Work

• Evaluations of the Rogers–Ramanujan continued fraction R(q) by modular equations
• On Ramanujan's continued fraction
• Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions
• Some Values for the Rogers-Ramanujan Continued Fraction
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