21 citations · 65 across the 11 of their papers we have counts for
11 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 $…
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 ord…
Normal ordering problem and the extensions of the Stirling grammar
Shi-Mei Ma, Toufik Mansour, Matthias Schork
The purpose of this paper is to investigate the connection between context-free grammars and normal ordering problem, and then to explore various extensions of the Stirling grammar…
Motzkin numbers of higher rank: Generating function and explicit expression
Toufik Mansour, Matthias Schork, Yidong Sun
The generating function and an explicit expression is derived for the (colored) Motzkin numbers of higher rank introduced recently. Considering the special case of rank one yields…