THE LEVEL 12 ANALOGUE OF RAMANUJAN’S FUNCTION
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Publication:3186400
DOI10.1017/S1446788715000531zbMath1404.11040MaRDI QIDQ3186400
Publication date: 9 August 2016
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Eisenstein serieshypergeometric functionquintuple product identityJacobi triple product identitymodular equationelliptic integralDedekind eta functionRogers-Ramanujan continued fractionRamanujan's cubic continued fraction
Factorials, binomial coefficients, combinatorial functions (05A10) Holomorphic modular forms of integral weight (11F11) Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75)
Related Items (4)
Level 16 analogue of Ramanujan's theories of elliptic functions to alternative bases ⋮ A level 16 analogue of Ramanujan series for \(1/\pi\) ⋮ HYPERGEOMETRIC MODULAR EQUATIONS ⋮ Level 14 and 15 analogues of Ramanujan’s elliptic functions to alternative bases
Cites Work
- A continued fraction of order twelve
- On Ramanujan's function \(k(q)=r(q)r^{2}(q^{2})\)
- New \(_{5}F_{4}\) hypergeometric transformations, three-variable Mahler measures, and formulas for \(1/ \pi \)
- Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)
- Factorizations that involve Ramanujan's function \(k(q)=r(q)r^2(q^2)\)
- ON THE EXPANSION OF A CONTINUED FRACTION OF ORDER TWELVE
- Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations
- On a continued fraction of order 12
- Densities of Short Uniform Random Walks
- Inversion formulas for elliptic functions
- NEW REPRESENTATIONS FOR APÉRY‐LIKE SEQUENCES
- On the two-dimensional theta functions of the Borweins
- Elliptic integral evaluations of Bessel moments and applications
- Some Infinite Products of Ramanujan Type
- THE QUINTUPLE PRODUCT IDENTITY
- CONGRUENCES SATISFIED BY APÉRY-LIKE NUMBERS
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