Hypergeometric transformation formulas of degrees 3, 7, 11 and 23
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Publication:743202
DOI10.1016/j.jmaa.2014.07.061zbMath1395.11076OpenAlexW2054393065MaRDI QIDQ743202
Jinqi Ge, Dongxi Ye, Shaun Cooper
Publication date: 23 September 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.061
Theta series; Weil representation; theta correspondences (11F27) Generalized hypergeometric series, ({}_pF_q) (33C20)
Related Items (7)
Level 16 analogue of Ramanujan's theories of elliptic functions to alternative bases ⋮ A level 16 analogue of Ramanujan series for \(1/\pi\) ⋮ A note on Clebsch-Gordan integral, Fourier-Legendre expansions and closed form for hypergeometric series ⋮ Ramanujan–Sato series for $1/\pi $ ⋮ Series for \(1/\pi\) of level 20 ⋮ Level 14 and 15 analogues of Ramanujan’s elliptic functions to alternative bases ⋮ Symbolic computations via Fourier–Legendre expansions and fractional operators
Cites Work
- Hypergeometric analogues of the arithmetic-geometric mean iteration
- Powers of theta functions
- Quintic and septic Eisenstein series
- Eisenstein series in Ramanujan's Lost Notebook
- Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)
- Two theta function identities and some Eisenstein series identities of Ramanujan
- Sporadic sequences, modular forms and new series for \(1/\pi\)
- Explicit evaluations of a level 13 analogue of the Rogers-Ramanujan continued fraction
- Level 14 and 15 analogues of Ramanujan’s elliptic functions to alternative bases
- Rational analogues of Ramanujan's series for 1/π
- Inversion formulas for elliptic functions
- Algebraic hypergeometric transformations of modular origin
- On Ramanujan's cubic transformation formula for 2 F 1(1/3, 2/3; 1; z)
- Ramanujan's Theories of Elliptic Functions to Alternative Bases
- A Cubic Counterpart of Jacobi's Identity and the AGM
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