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.

Download: PDF

Submission history

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

Unique-IP document downloads: 191 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus