Monthly Archives: July 2010

Euler-Maclaurin summation of hypergeometric series

I recently fixed another corner case (it’s always the corner cases that are hard!) in the hypergeometric function evaluation code in mpmath. The difficulty in question concerns the functions pFp-1(…; …; z), of which the Gauss hypergeometric function 2F1 is … Continue reading

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Post Sage Days 24 report

Now that I’ve overcome the immediate effects of SDWS (Sage Days Withdrawal Syndrome), I should write a brief report about Sage Days 24 which took place last week at the Research Institute for Symbolic Computation (RISC), located in a small … Continue reading

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Sage Days 23, and Bessel function zeros

Yesterday I came back home from Sage Days 23 in Leiden. I don’t really have time to write a detailed travel report right now, but overall it was very, very nice. Those interested can check out William Stein’s photos (1, 2, 3, 4) of the … Continue reading

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Symbolic infinite series

I’ve written a little module for symbolically evaluating hypergeometric infinite series. Technically, a series is hypergeometric if the ratio between successive terms is a rational function of the index k; more intuitively, most “nice-looking” series (such as power series of … Continue reading

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