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cs.SC2022★ 3 cited
The Factorial-Basis Method for Finding Definite-Sum Solutions of Linear Recurrences With Polynomial Coefficients
Antonio Jiménez-Pastor, Marko Petkovšek
The problem of finding a nonzero solution of a linear recurrence with polynomial coefficients where has the form of a definite hypergeometric sum, related to the Inver…
cs.SC2018
Convolutions of Liouvillian Sequences
Sergei A. Abramov, Marko Petkovšek, Helena Zakrajšek
While Liouvillian sequences are closed under many operations, simple examples show that they are not closed under convolution, and the same goes for d'Alembertian sequences. Nevert…