From the 3 of 4 linked papers with an AI index.
4 papers
Normal ordering in the -deformed generalized Weyl algebra. I: Algebraic Framework and Combinatorial Identities
Toufik Mansour, Lahcen Oussi, Matthias Schork
The paper builds an algebraic framework for normal ordering arbitrary words in the (p,q)-deformed generalized Weyl algebra, using Young diagrams to derive combinatorial identities…
Normal ordering in the -deformed generalized Weyl algebra. II: Interpretation in terms of rook placements
Toufik Mansour, Lahcen Oussi, Matthias Schork
The paper develops a (p,q)-deformed rook theory by applying normal ordering in a (p,q)-deformed generalized Weyl algebra, defining (p,q)-deformed s‑rook numbers and interpreting (p…
Normal ordering in the -deformed generalized Weyl algebra. III: The binomial formula
Toufik Mansour, Lahcen Oussi, Matthias Schork
The paper analyzes a (p,q)-deformed generalized Weyl algebra and derives a noncommutative binomial expansion (X+Y)^n, expressing the normal ordering coefficients via (p,q)-deformed…
Rook theory, normal ordering in the -deformed Ore algebra and the polynomial generalization
Matthias Schork
For words in the variables and satisfying the commutation relation of the -deformed generalized Ore algebra, , we show that the corresponding normal o…