Operator orderings and Meixner-Pollaczek polynomials
Genki Shibukawa
TL;DR
This paper presents simplified proofs of identities involving operator orderings and Meixner-Pollaczek polynomials, extending previous formulas by Koornwinder and Hamdi-Zeng.
Contribution
It introduces new, more straightforward proofs of existing identities related to operator orderings and special polynomials, generalizing prior results.
Findings
Simpler proofs of operator ordering identities
Generalizations of Koornwinder and Hamdi-Zeng formulas
Enhanced understanding of Meixner-Pollaczek polynomials
Abstract
The aim of this paper is to give identities which are generalizations of the formulas given by Koornwinder [J. Math. Phys. 30, (1989)] and Hamdi-Zeng [J. Math. Phys. 51, (2010)]. Our proofs are much simpler than and different from the previous investigations.
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