75 citations · 402 across the 82 of their papers we have counts for
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cs.SC2014
Bounds for D-finite closure properties
Manuel Kauers
We provide bounds on the size of operators obtained by algorithms for executing D-finite closure properties. For operators of small order, we give bounds on the degree and on the h…
cs.SC2014★ 1 cited
Desingularization of Ore Operators
Shaoshi Chen, Manuel Kauers, Michael F. Singer
We show that Ore operators can be desingularized by calculating a least common left multiple with a random operator of appropriate order. Our result generalizes a classical result…
cs.SC2014★ 14 cited
A Generalized Apagodu-Zeilberger Algorithm
Shaoshi Chen, Manuel Kauers, Christoph Koutschan
The Apagodu-Zeilberger algorithm can be used for computing annihilating operators for definite sums over hypergeometric terms, or for definite integrals over hyperexponential funct…