On A Continued Fraction Identity From Ramanujan’s Notebook

Authors

  • S.N. Fathima, Yudhisthira Jamudulia

Abstract

In this paper, we study a continued fraction of Ramanujan A (q).We establish an integral representation of A (q) and prove its modular identities. We also compute explicit evaluation of this continued fraction.

2000 Mathematics Subject Classification: 11A55.

Keywords: Continued Fractions, Modular Equations.

Downloads

Published

2014-01-26

How to Cite

Yudhisthira Jamudulia, S. F. (2014). On A Continued Fraction Identity From Ramanujan’s Notebook. Asian Journal of Current Engineering and Maths, 3(1). Retrieved from http://medicaleditor.uk/index.php/ajcem/article/view/599

Issue

Vol. 3 No. 1 (2014)

Section

Articles

License

COPYRIGHT AGREEMENT AND AUTHORSHIP RESPONSIBILITY

 

All paper submissions must carry the following duly signed by all the authors:

“I certify that I have participated sufficiently in the conception and design of this work and the analysis of the data (wherever applicable), as well as the writing of the manuscript, to take public responsibility for it. I believe the manuscript represents valid work. I have reviewed the final version of the manuscript and approve it for publication. Neither has the manuscript nor one with substantially similar content under my authorship been published nor is being considered for publication elsewhere, except as described in an attachment. Furthermore I attest that I shall produce the data upon which the manuscript is based for examination by the editors or their assignees, if requested.”