On Ramanujan's incomplete elliptic integral identities

DOI10.1007/s13226-020-0493-6zbMath1467.33018OpenAlexW3120525152MaRDI QIDQ828958

E. N. Bhuvan

Publication date: 5 May 2021

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

Full work available at URL: https://doi.org/10.1007/s13226-020-0493-6

zbMATH Keywords

Dedekind eta-functiontheta functionsmodular equationsRogers-Ramanujan continued fractionincomplete elliptic integrals

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Elliptic functions and integrals (33E05)

Cites Work

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• Ramanujan's Eisenstein series of level 7 and 14
• On Ramanujan's function \(k(q)=r(q)r^{2}(q^{2})\)
• Two modular equations for squares of the Rogers-Ramanujan functions with applications
• Some theorems on the Rogers-Ramanujan continued fraction and associated theta function identities in Ramanujan's Lost Notebook
• The Rogers-Ramanujan continued fraction
• Level 14 and 15 analogues of Ramanujan’s elliptic functions to alternative bases
• The continued fractions found in the unorganized portions of Ramanujan’s notebooks
• “cases? for φ also” a question raised by Ramanujan
• Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions
• Some Theorems on the Rogers–Ramanujan Continued Fraction in Ramanujan’s Lost Notebook

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