8 citations · 8 across the 4 of their papers we have counts for
4 papers
Normal ordering in the -deformed generalized Weyl algebra. I: Algebraic Framework and Combinatorial Identities
Toufik Mansour, Lahcen Oussi, Matthias Schork
The -deformed generalized Weyl algebra is generated by variables and which satisfy the commutation relations , and ,…
Normal ordering in the -deformed generalized Weyl algebra. II: Interpretation in terms of rook placements
Toufik Mansour, Lahcen Oussi, Matthias Schork
In this paper, we investigate the combinatorial structure arising from the -deformed generalized Weyl algebra generated by variables , and , satisfying the $(p,…
Normal ordering in the -deformed generalized Weyl algebra. III: The binomial formula
Toufik Mansour, Lahcen Oussi, Matthias Schork
We study the -deformed generalized Weyl algebra generated by variables and satisfying the -commutation relations , and $…
231-Avoiding Involutions and Fibonacci Numbers
Eric S. Egge, Toufik Mansour
We use combinatorial and generating function techniques to enumerate various sets of involutions which avoid 231 or contain 231 exactly once. Interestingly, many of these enumerati…