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Meixner type polynomialsare defined from the Meixner polynomials by using Casoratian determinants whose entries belong to two given finite sets of polynomialsand. They are eigenfunctions of higher-order difference operators but only for a careful choice of the polynomialsand, the sequenceis orthogonal with respect to a measure. Under mild assumptions, we characterize in this paper the algebra formed by all difference operators with respect to which the family of Meixner type polynomialsare eigenfunctions.

The algebra of difference operators associated to Meixner type polynomials