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Abstract: An alternative and combinatorial proof is given for a connection between asystem of Hahn polynomials and identities for symmetric elements in theHeisenberg algebra, which was first observed by Bender, Mead, and Pinsky Phys.Rev. Lett. 56 1986, J. Math. Phys. 28, 509 1987 and proved by KoornwinderJ. Phys. Phys. 304, 1989. In the same vein two results announced by Benderand Dunne J. Math. Phys. 29 8, 1988 connecting a special one-parameterclass of Hermitian operator orderings and the continuous Hahn polynomials arealso proved.

Author: Adel Hamdi, Jiang Zeng

Source: https://arxiv.org/

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