AsyRec: A Maple package for Computing the Asymptotics of Solutions of Linear Recurrence Equations with Polynomial Coefficients

By Doron Zeilberger

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(Exclusively published in the Personal Journal of Shalosh B. Ekhad and Doron Zeilberger)

Written: April 4, 2008.

Last update of this page: April 26, 2016.

This is a short paper that describes a much longer Maple package, that should have accompanied my 1985 article with Jet Wimp Resurrecting the asymptotics of linear recurrences, J. Math. Anal. Appl. v. 111, 162-177 (1985).

That article was not a very good resurrection, since we used pencil-and-paper and only got the leading terms. Now with Maple, we can do so much more.

IMPORTANT: this article accompanies a much more important object, the Maple program AsyRec , that uses the Birkhoff-Trjitznisky method to compute asymptotics of solutions of homogeneus linear recurrence equations with polynomial coefficients.

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