Some operator identities related to $q-$Hermite polynomials

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arxiv 1006.3210 v3 pith:DKKRDNPO submitted 2010-06-16 math.CO

Johann Cigler This is my paper · ORCID

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keywords operatorpolynomialssomeanaloguesderivedhermiteidentitiesnormal

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abstract

Some $q-$analogues of the normal ordering of the operator $(X+sD)^n$ on the polynomials are derived.

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Normal ordering in the $(p,q)$-deformed generalized Weyl algebra. III: The binomial formula
math.CO 2026-07 accept novelty 5.5 of 10

Normal-ordering coefficients of (X+Y)^n in the (p,q)-deformed generalized Weyl algebra equal sums of (p,q)-deformed s-rook numbers over Ferrers boards in rectangles.