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1992 Computing the generating function of a series given its first few terms
François Bergeron, Simon Plouffe
Experiment. Math. 1(4): 307-312 (1992).

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.

Citation

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François Bergeron. Simon Plouffe. "Computing the generating function of a series given its first few terms." Experiment. Math. 1 (4) 307 - 312, 1992.

Information

Published: 1992
First available in Project Euclid: 25 March 2003

zbMATH: 0782.05004
MathSciNet: MR1257287

Subjects:
Primary: 05A15
Secondary: 11B65, 11Y16, 68Q40

Rights: Copyright © 1992 A K Peters, Ltd.

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Vol.1 • No. 4 • 1992
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