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A formula for the convergents of a continued fraction of Ramanujan

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.

preprint2016arXivOpen access
Gaurav BhatnagarMichael D. Hirschhorn
math.CA
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Gaurav BhatnagarMichael D. Hirschhorn

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