On Ramanujan's incomplete elliptic integral identities
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Publication:828958
DOI10.1007/s13226-020-0493-6zbMath1467.33018OpenAlexW3120525152MaRDI QIDQ828958
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
Dedekind eta-functiontheta functionsmodular equationsRogers-Ramanujan continued fractionincomplete elliptic integrals
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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