Commutation Relations, Normal Ordering, and Stirling Numbers Page 1 Commutation
Relations, Normal Ordering, and Stirling Numbers Toufik Mansour • Matthias Schork Mansour • …

It is known that the unsigned Stirling numbers of the first kind are related to normal ordering
in the shift algebra. The aim of this paper is to consider the-shift algebra, which is a …

We develop here the algebra and model theory of the differential field of transseries, a
fascinating mathematical structure obtained by iterating a construction going back more than …

Combinatorics and Number Theory of Counting Sequences is an introduction to the theory
of finite set partitions and to the enumeration of cycle decompositions of permutations. The …

In this paper, we report on recent progress concerning combinatorial aspects of normal
ordering. After giving a short introduction to the history and motivation of normal ordering, we …

This is an abridged version of our Habilitation thesis. In these notes, we aim to summarize
our research interests and achievements as well as motivate what drives our work …

We demonstrate that the most well-known approach to rewriting graphical structures, the
Double-Pushout (DPO) approach, possesses a notion of sequential compositions of rules …

It is known that the Stirling numbers of the second kind are related to normal ordering in the
Weyl algebra, while the unsigned Stirling numbers of the first kind are related to normal …

A new family of generalized Stirling and Bell numbers is introduced by considering powers
$(VU)^ n $ of the noncommuting variables $ U, V $ satisfying $ UV= VU+ hV^ s $. The case …

Abstract The generalized Stirling numbers Ss; h (n, k) introduced recently by the authors are
shown to be a special case of the three parameter family of generalized Stirling numbers S …