Abstract
Meixner type polynomials are defined from the Meixner polynomials by using Casoratian determinants whose entries belong to two given finite sets of polynomials and . They are eigenfunctions of higher-order difference operators but only for a careful choice of the polynomials and , the sequence is 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 polynomials are eigenfunctions.
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