W. Mlotkowski

activity

20092022

most citedCauchy-Stieltjes families with polynomial variance functions and generalized orthogonality

17 citations · 62 across the 14 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.PR2019★ 3 cited

Free self-decomposability and unimodality of the Fuss-Catalan distributions

Wojciech Młotkowski, Noriyoshi Sakuma, Yuki Ueda

We study properties of the Fuss-Catalan distributions $μ (p, r)$ , $p \geq 1$ , $0 < r \leq p$ : free infinite divisibility, free self-decomposability, free regularity and unimodality. We sh…

math.CO2019

Some relatives of the Catalan sequence

Elżbieta Liszewska, Wojciech Młotkowski

We study a family of sequences $c_{n} (a_{2}, \dots, a_{r})$ , where $r \geq 2$ and $a_{2}, \dots, a_{r}$ are real parameters. We find a sufficient condition for positive definiteness of the sequen…

math.CO2019

Permutations of type $B$ with fixed number of descents and minus signs

Katarzyna Kril, Wojciech Młotkowski

We study three dimensional array of numbers $B (n, k, j)$ , $0 \leq j, k \leq n$ , where $B (n, k, j)$ is the number of type $B$ permutations of order $n$ with $k$ descents and $j$ minus signs.…

Free self-decomposability and unimodality of the Fuss-Catalan distributions

Some relatives of the Catalan sequence

Permutations of type B with fixed number of descents and minus signs

Permutations of type $B$ with fixed number of descents and minus signs