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

Let G be a finite group of order m≥ 1. A Dowling lattice Qn (G) is the geometric lattice of rank
n over G. In this paper, we define the r-Whitney numbers of the first and second kind over Qn …

В монографии излагаются классические и новые арифметические, геометрические и
комбинаторные свойства арифметических треугольников и пирамид, обобщающих …

The purpose of this paper is to construct λ-Euler numbers and polynomials by using
fermionic expression of p-adic q-integral at q=− 1. From these λ-Euler polynomials, we …

Noncommutative algebras, rings and other noncommutative objects, along with their more
classical commutative counterparts, have become a key part of modern mathematics …

In this paper, we provide combinatorial proofs of several prior identities satisfied by the
recently introduced generalized Leonardo numbers, denoted by Lk, n, as well as derive …

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 …

The q-Stirling numbers (polynomials) of the second kind have been investigated and
applied in a variety of research subjects including, even, the q-analogue of Bernstein …

We consider the Ehrhart polynomial of hypersimplices. It is proved that these polynomials
have positive coefficients and we give a combinatorial formula for each of them. This settles …

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 …