This approach extends classical characterizations of semiclassical orthogonal polynomials on lattices, indicating a broader framework for analysis.
A new characterization of semiclassical orthogonal polynomials on a q-quadratic lattice from certain type of structure relations is given. These characterizations include classical ones and, in addition, extend the recent result [Mbouna, D. and Suzuki, A., {Some Appell-type orthogonal polynomials on lattices}, Ramanujan J. (2024) 64:807-822] in a more general case.
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Mbouna et al. (2025) studied this question.
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