We describe the relation between graph decompositions into walks and the normal ordering of differential operators in the $n$-th Weyl algebra. Under several specifications, we study new types of restricted set partitions, and a generalization of Stirling numbers, which we call the $\lambda$-Stirling numbers.
@article{10_37236_5181,
author = {Askar Dzhumadil'daev and Damir Yeliussizov},
title = {Walks, partitions, and normal ordering},
journal = {The electronic journal of combinatorics},
year = {2015},
volume = {22},
number = {4},
doi = {10.37236/5181},
zbl = {1323.05015},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5181/}
}
TY - JOUR
AU - Askar Dzhumadil'daev
AU - Damir Yeliussizov
TI - Walks, partitions, and normal ordering
JO - The electronic journal of combinatorics
PY - 2015
VL - 22
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.37236/5181/
DO - 10.37236/5181
ID - 10_37236_5181
ER -
%0 Journal Article
%A Askar Dzhumadil'daev
%A Damir Yeliussizov
%T Walks, partitions, and normal ordering
%J The electronic journal of combinatorics
%D 2015
%V 22
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/5181/
%R 10.37236/5181
%F 10_37236_5181
Askar Dzhumadil'daev; Damir Yeliussizov. Walks, partitions, and normal ordering. The electronic journal of combinatorics, Tome 22 (2015) no. 4. doi: 10.37236/5181
