On Ramanujan's cubic transformation formula for 2F1 (1/3, 2/3; 1; z)

Mathematical Proceedings of the Cambridge Philosophical Society

Volumn 124, Issue 2, 1998, Pages 193-204

  Chan, Heng Huat ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22044452712     PISSN: 03050041     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0305004198002643     Document Type: Article

References (13)

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4. B. C. BERNDT, S. BHARGAVA, S. and F. G. GARVAN. Ramanujan's theories of elliptic functions to alternative bases. Trans. Amer. Math. Soc. 347 (1995), 4136-4244.
5. J. M. BORWEIN and P. B. BORWEIN. A cubic counterpart of Jacobi's identity and the AGM. Trans. Amer. Math. Soc. 323, (1991), 691-701.
6. J. M. BORWEIN, P. B. BORWEIN and F. G. GARVAN. Some cubic identities of Ramanujan. Trans. Amer. Math. Soc. 343, (1994), 35-47.
7. H. H. CHAN. On Ramanujan's cubic continued fraction. Acta Arith. 73, (1995), 343-355.
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10. E. GOURSAT. Sur l'équation différentielle linéaire qui admet pour intégrale la série hypergéometrique. Ann. Sci. École Norm. Sup. (2), 10 (1881), 3-142.
11. S. RAMANUJAN. On certain arithmetical functions. Trans. Camb. Phil. Soc. 22, (1916), 159-184.
12. S. RAMANUJAN. Notebooks (2 volumes) (Tata Institute of Fundamental Research, Bombay, 1957).
13. K. VENKATACHALIENGAR. Development of elliptic functions according to Ramanujan (Madurai Kamaraj University, Madurai, 1988).