Ramanujan R and S

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With (Mathematica's QPochhammer[a,q]), the expressions and represent Roger–Ramanujan and Roger–Ramanujan , also representable as and , using Mathematica's notation for continued fractions (the ContinuedFractionK[] function). In 1919, months before his death, Ramanujan wrote down various elegant results for this function in what became the "lost notebook."


Ramanujan claimed that many equations like can be expressed in terms of radicals [1]. This notebook collects many of these results.


Contributed by: Oleg Marichev, Michael Trott, and Ed Pegg Jr (April 2013)
Open content licensed under CC BY-NC-SA




[1] S. Ramanujan, The Lost Notebook and Other Unpublished Papers, New Delhi: Narosa Publishing House, 1988 p. 210.

[2] G. E. Andrews and B. C. Berndt, Ramanujan's Lost Notebook: Part I, New York: Springer, 2005 pp. 58–84.

[3] Wikipedia. "Ramanujan's Lost Notebook." (Apr 9, 2013) en.wikipedia.org/wiki/Ramanujan%27s_lost _notebook.

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