On some continued fraction identities of Srinivasa Ramanujan
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- by S. Bhargava and Chandrashekar Adiga PDF
- Proc. Amer. Math. Soc. 92 (1984), 13-18 Request permission
Abstract:
The main purpose of this note is to state and prove, in a simple, unified manner, several $q$-continued fraction expansions found in Ramanujan’s "lost" notebook. This is related to some recent works of G. E. Andrews and M. D. Hirschhorn.References
- George E. Andrews, An introduction to Ramanujan’s “lost” notebook, Amer. Math. Monthly 86 (1979), no. 2, 89–108. MR 520571, DOI 10.2307/2321943
- George E. Andrews, Ramanujan’s “lost” notebook. I. Partial $\theta$-functions, Adv. in Math. 41 (1981), no. 2, 137–172. MR 625891, DOI 10.1016/0001-8708(81)90013-X
- M. D. Hirschhorn, A continued fraction, Duke Math. J. 41 (1974), 27–33. MR 337746
- M. D. Hirschhorn, A continued fraction of Ramanujan, J. Austral. Math. Soc. Ser. A 29 (1980), no. 1, 80–86. MR 566278
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 13-18
- MSC: Primary 11A55; Secondary 05A19, 40A15
- DOI: https://doi.org/10.1090/S0002-9939-1984-0749881-3
- MathSciNet review: 749881