Dobinski-type relations: Some properties and physical applications
Quantum Physics
2009-11-11 v1
Abstract
We introduce a generalization of the Dobinski relation through which we define a family of Bell-type numbers and polynomials. For all these sequences we find the weight function of the moment problem and give their generating functions. We provide a physical motivation of this extension in the context of the boson normal ordering problem and its relation to an extension of the Kerr Hamiltonian.
Cite
@article{arxiv.quant-ph/0511157,
title = {Dobinski-type relations: Some properties and physical applications},
author = {P Blasiak and A Horzela and K A Penson and A I Solomon},
journal= {arXiv preprint arXiv:quant-ph/0511157},
year = {2009}
}
Comments
7 pages, 1 figure