77 citations · 125 across the 13 of their papers we have counts for
5 papers · 2 filters
Hierarchical Dobinski-type relations via substitution and the moment problem
K. A. Penson, P. Blasiak, G. Duchamp +2
We consider the transformation properties of integer sequences arising from the normal ordering of exponentiated boson ([a,a*]=1) monomials of the form exp(x (a*)^r a), r=1,2,...,…
Geometrical and physical properties of maths-type q-deformed coherent states for or
C. Quesne, K. A. Penson, V. M. Tkachuk
We compare the geometrical and physical properties of the maths-type coherent states for with those of the same for .
Combinatorial coherent states via normal ordering of bosons
P. Blasiak, K. A. Penson, A. I. Solomon
We construct and analyze a family of coherent states built on sequences of integers originating from the solution of the boson normal ordering problem. These sequences generalize t…
Maths-type q-deformed coherent states for q > 1
C. Quesne, K. A. Penson, V. M. Tkachuk
Maths-type q-deformed coherent states with allow a resolution of unity in the form of an ordinary integral. They are sub-Poissonian and squeezed. They may be associated wit…
Dobinski-type relations and the Log-normal distribution
P. Blasiak, K. A. Penson, A. I. Solomon
We consider sequences of generalized Bell numbers B(n), n=0,1,... for which there exist Dobinski-type summation formulas; that is, where B(n) is represented as an infinite sum over…