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Here we consider a certain transfert operator \(M(c,ω)=IP-c \, τω,\) \(ω≠0,\) \({c ∈ R-\{0,1\},}\) and we prove the following statement: up to an affine transformation, the only orthogonal sequence that remains orthogonal after application of this transfert operator is the Meixner polynomials of the first kind.
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Abassi et al. (2024) studied this question.
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