New general theorems and explicit values of the level 13 analogue of Rogers-Ramanujan continued fraction

DOI10.1155/2014/162759zbMath1423.11025OpenAlexW2047263077WikidataQ59048681 ScholiaQ59048681MaRDI QIDQ2337570

Nipen Saikia

Publication date: 20 November 2019

Published in: Journal of Numbers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/162759

Mathematics Subject Classification ID

Continued fractions (11A55)

Cites Work

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• Some new explicit values of the parameters \(s_n\) and \(t_n\) connected with Rogers-Ramanujan continued fraction and applications
• A parameter for Ramanujan's function \(\chi(q)\): its explicit values and applications
• Theta function identities
• Some theorems on the Rogers-Ramanujan continued fraction and associated theta function identities in Ramanujan's Lost Notebook
• Certain modular functions similar to the Dedekind eta function.
• Explicit evaluations of a level 13 analogue of the Rogers-Ramanujan continued fraction
• The Rogers-Ramanujan continued fraction and its level 13 analogue
• 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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