On ore-Stirling numbers defined by normal ordering in the Ore algebra
Toufik Mansour,
Matthias Schork
Abstract:Normal ordering in the eyl algebra is related to the Stirling numbers of the
second kind, while normal ordering in the shift algebra is related to the
unsigned Stirling numbers of the first kind. The Ore algebra - this name was
introduced recently by Patrias and Pylyavskyy - is an algebra closely
related to the Weyl algebra and the shift algebra. We consider a
two-parameter family of generalized Ore algebras which comprises all
algebras mentioned by specializing the parameters suitably. Analo… Show more
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