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 …

Dowling showed that the Whitney numbers of the first kind and of the second kind satisfy
Stirling number-like relations. Recently, Kim-Kim introduced the degenerate r-Whitney …

We give new sufficient conditions for a sequence of polynomials to have only real zeros
based on the method of interlacing zeros. As applications we derive several well-known …

In this note we show that a seemingly new class of Stirling-type pairs can be applied to
produce a new representation of the Bernoulli polynomials at positive rational arguments. A …

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

Dowling constructed the Dowling lattice, for any finite set with elements and any finite
multiplicative group of order, which is a finite geometric lattice. He also defined the Whitney …

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 …

On Some Numbers Related to Whitney Numbers of Dowling Lattices Page 1 Ž . ADVANCES IN
APPLIED MATHEMATICS 19, 106-116 1997 ARTICLE NO. AM970529 On Some Numbers …

Using a combinatorial approach, we introduce the translated Whitney numbers. This seems
to be more natural than to write a product of anarithmetical progression in terms of a power …