21 citations · 65 across the 11 of their papers we have counts for
4 papers · 1 filter
Motzkin numbers of higher rank: Generating function and explicit expression
Toufik Mansour, Matthias Schork, Yidong Sun
The generating function and an explicit expression is derived for the (colored) Motzkin numbers of higher rank introduced recently. Considering the special case of rank one yields…
Wick's theorem for q-deformed boson operators
Toufik Mansour, Matthias Schork, Simone Severini
In this paper combinatorial aspects of normal ordering arbitrary words in the creation and annihilation operators of the q-deformed boson are discussed. In particular, it is shown…
Generalized Heisenberg algebras and k-generalized Fibonacci numbers
Matthias Schork
It is shown how some of the recent results of de Souza et al. [1] can be generalized to describe Hamiltonians whose eigenvalues are given as k-generalized Fibonacci numbers. Here k…
On the normal ordering of multi-mode boson operators
Toufik Mansour, Matthias Schork
In this article combinatorial aspects of normal ordering annihilation and creation operators of a multi-mode boson system are discussed. The modes are assumed to be coupled since o…