Number Theory

   

Computing the Generating Function of a Series Given Its First Few Terms

Authors: Simon Plouffe, François Bergeron

We outline an approach for the computation of a good can- didate for the generating function of a power series for which only the first few coefficients are known. More precisely, if the derivative, the logarithmic derivative, the reversion, or another transformation of a given power series (even with polynomial coefficients) appears to admit a rational generating function, we compute the generating function of the original series by applying the inverse of those transformations to the rational generating function found.

Comments: 6 Pages.

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Submission history

[v1] 2014-09-12 10:28:07
[v2] 2014-09-12 22:03:23

Unique-IP document downloads: 81 times

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