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

We provide the solution to the normal ordering problem for powers and exponentials of two
classes of operators. The first one consists of boson strings and more generally …

A small set of combinatorial sequences have coefficients that can be represented as
moments of a nonnegative measure on $[0,\infty) $. Such sequences are known as Stieltjes …

It is shown that summation formulae of special functions, often encountered in applications
ranging from electromagnetic processes to combinatorics, can be written in terms of Hermite …

We solve the boson normal ordering problem for [Formula: see text] with arbitrary functions q
and v and integer n, where a and a† are boson annihilation and creation operators …

A study of inclusive production of the meson resonances ρ 0, K∗ 0 (892), ƒ 0 (975) and ƒ 2
(1270) in hadronic decays of the Z0 is presented. The measured mean meson multiplicity …

In this paper we give a modified approach to the generalized Stirling numbers of the second
kind Sr, s (n, k) and Sr, s (k). These numbers were firstly defined by Carlitz and recently …

Several determinants with gamma functions as elements are evaluated. These kinds of
determinants are encountered, for example, in the computation of the probability density of …

We classify all solutions of the restricted Toda chain from the ansatz that all moments are
expressed in terms of polynomials of some variable. We show that each such solution …

The use of the umbral formalism allows a significant simplification of the derivation of sum
rules involving products of special functions and polynomials. We rederive in this way known …