Experimental Mathematics

Computing the generating function of a series given its first few terms

Abstract

We outline an approach for the computation of a good candidate 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.

Article information

Source
Experiment. Math., Volume 1, Issue 4 (1992), 307-312.

Dates
First available in Project Euclid: 25 March 2003