Deformed Bosons: Combinatorics of Normal Ordering
  We solve the normal ordering problem for (A* A)^n where A* (resp. A) are one mode deformed bosonic creation (resp. annihilation) operators satisfying [A,A*]=[N+1]-[N]. The solution generalizes results known for canonical and q-bosons. It involves combinatorial polynomials in the number operator N for which the generating functions and explicit expressions are found. Simple deformations provide examples of the method. 
P. Blasiak (1,2), A. Horzela (1), K. A. Penson (2), A. I. Solomon   (2,3) ((1)Polish Academy of Sciences, Krakow, Poland, (2...