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

We derive a new matrix representation for higher-order Daehee numbers and polynomials,
higher-order λ-Daehee numbers and polynomials, and twisted λ-Daehee numbers and …

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 …

In this paper, we derive some identities and recurrence relations for the degenerate Stirling
numbers of the first kind and of the second kind which are degenerate versions of the …

We establish an extension of Spivey's Bell number formula and its associated Bell
polynomial extension by using Hsu-Shiue's generalized Stirling numbers. By means of the …

In this paper, we derive new matrix representation for Daehee numbers and polynomials,
the lambda-Daehee numbers and polynomials and the twisted Daehee numbers and …

Let x and y be two variables satisfying the commutation relation xy= qyx+ hf (y), where f (y) is
a polynomial. In this paper, using Young diagrams and generating functions techniques, we …

In this paper new explicit expressions for both kinds of Comtet numbers and some
interesting special cases are derived. Moreover, we define and study the generalized …

We consider decompositions of digraphs into edge-disjoint paths and describe their
connection with the n-th Weyl algebra of differential operators. This approach gives a graph …

This paper gives a new generalization of higher order Daehee and Bernoulli numbers and
polynomials. We define the multiparameter higher order Daehee numbers and polynomials …