75 citations · 402 across the 82 of their papers we have counts for
4 papers · 1 filter
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…
Lattice Walks in the Octant with Infinite Associated Groups
Manuel Kauers, Rong-Hua Wang
Continuing earlier investigations of restricted lattice walks in , we take a closer look at the models with infinite associated groups. We find that up to isomorphism…
Asymptotic Enumeration of Compacted Binary Trees of Bounded Right Height
Antoine Genitrini, Bernhard Gittenberger, Manuel Kauers +1
A compacted binary tree is a graph created from a binary tree such that repeatedly occurring subtrees in the original tree are represented by pointers to existing ones, and hence e…
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…