Towards psi-extension of Rota`s Finite Operator Calculus

Details Towards psi-extension of Rota`s Finite Operator Calculus Towards psi-extension of Rota`s Finite Operator Calculus

2004-02-05

arxiv.org/abs/math/0402078v1

Reports on Mathematical Physics Vol. 48 No 3 (2001) : 305-342

Mathematics

Combinatorics

38 pages

Scientific paper

A class of extended umbral calculi in operator form is presented. Extensions
of all basic theorems of classical Finite Operator Calculus are shown to hold.
The impossibility of straightforward extending of quantum q-plane formulation
of the q-umbral caculus to the general psi-calculus case is demonstrated.

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