On some continued fraction identities of Srinivasa Ramanujan-Reference-Cited by-同舟云学术

On some continued fraction identities of Srinivasa Ramanujan

Published:1984 Issue:1 Volume:92 Page:13-18
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bhargava S.,Adiga Chandrashekar

Abstract

The main purpose of this note is to state and prove, in a simple, unified manner, several q 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1984-092-01/S0002-9939-1984-0749881-3/S0002-9939-1984-0749881-3.pdf

Reference4 articles.

1. An introduction to Ramanujan’s “lost” notebook;Andrews, George E.;Amer. Math. Monthly,1979

2. Ramanujan’s “lost” notebook. I. Partial 𝜃-functions;Andrews, George E.;Adv. in Math.,1981

3. A continued fraction;Hirschhorn, M. D.;Duke Math. J.,1974

4. A continued fraction of Ramanujan;Hirschhorn, M. D.;J. Austral. Math. Soc. Ser. A,1980

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