Its the 125th year of Ramanujan’s birth, but how many of his formulas do you know? Here is an opportunity to get familiar with 9 of Ramanujan’s continued fraction formulas. These include the three continued fractions that appear in the Lost Notebook in the above photograph.
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Update (Sept 7, 2018): I presented this topic in IISER, Mohali, after adding a few ideas from the recent joint work with Mourad Ismail. Here is the presentation.
Update (December 20, 2014): Published in Contemporary Mathematics: Ramanujan 125, K. Alladi, F. Garvan, A. J. Yee (eds.) 627, 49-68 (2014)
Update (July 17, 2013): Accepted for publication in the proceedings of Ramanujan 125, where I presented this paper.







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