75 citations · 402 across the 82 of their papers we have counts for
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cs.SC2017★ 1 cited
Apparent Singularities of D-finite Systems
Shaoshi Chen, Manuel Kauers, Ziming Li +1
We generalize the notions of singularities and ordinary points from linear ordinary differential equations to D-finite systems. Ordinary points of a D-finite system are characteriz…
cs.SC2017
Bounds for Substituting Algebraic Functions into D-finite Functions
Manuel Kauers, Gleb Pogudin
It is well known that the composition of a D-finite function with an algebraic function is again D-finite. We give the first estimates for the orders and the degrees of annihilatin…