21 citations · 81 across the 34 of their papers we have counts for
5 papers · 1 filter
On embedded trees and lattice paths
Markus Kuba
Bouttier, Di Francesco and Guitter introduced a method for solving certain classes of algebraic recurrence relations arising the context of embedded trees and map enumeration. The…
On Path diagrams and Stirling permutations
Markus Kuba, Anna L. Varvak
A permutation can be locally classified according to the four local types: peaks, valleys, double rises and double falls. The corresponding classification of binary increasing tree…
On a reciprocity law for finite multiple zeta values
Helmut Prodinger, Markus Kuba
It was shown in that harmonic numbers satisfy certain reciprocity relations, which are in particular useful for the analysis of the quickselect algorithm. The aim of this work is t…
On functions of Arakawa and Kaneko and multiple zeta functions
Markus Kuba
We study for the functions $ξ_{k}(s)=\frac{1}{Γ(s)}\int_{0}^{\infty}\frac{t^{s-1}}{e^t-1}\Li_{k}(1-e^{-t})dt$, and more generally $ξ_{k_1,...,k_r}(s)=\frac{1}{…
A note on naturally embedded ternary trees
Markus Kuba
In this note we consider ternary trees naturally embedded in the plane in a deterministic way such that the root has position zero, or in other words label zero, and the children o…