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arXiv · 1603.07664

A formula for the convergents of a continued fraction of Ramanujan

Gaurav Bhatnagar·Michael D. Hirschhorn
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Abstract

In Entry 16, Chapter 16 of his notebooks, Ramanujan himself gave a formula for the convergents of the famous Rogers-Ramanujan continued fraction. We provide a similar formula for the convergents of a more general continued fraction, namely Entry 15 of Chapter 16.

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Gaurav Bhatnagar, Michael D. Hirschhorn. 2016-03-24. A formula for the convergents of a continued fraction of Ramanujan. https://arxiv.org/abs/1603.07664

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