Articles

This implementation calculates Carlson's R function. This function is introduced here:

http://www.sciencedirect.com/science/article/pii/0022247X63900672

It makes use of its relation to the Lauricella hypergeometric function, as described in this article. This function is defined here:

http://mathworld.wolfram.com/LauricellaFunctions.html

The Lauricella function is computed through its Taylor series, see the wolfram link. This multivariable Taylor series obey a combinatorial identity, turning the multi-index summation into a summation over a single index. This is described in this article:

http://www.sciencedirect.com/science/article/pii/0377042788903202

I recently discovered the following article:

http://amstat.tandfonline.com/doi/abs/10.1080/10618600.1992.10474583 see also http://www.jstor.org/discover/10.2307/1390718?uid=2&uid=4&sid=21101633796651

... but I do not have access to it.