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A characterization of some Laguerre-Hahn orthogonal polynomials of class one. (English) Zbl 1369.33016

Summary: In this present work, we give an characterization of quasi-symmetric Laguerre-Hahn orthogonal polynomial sequences of class one through the study of the differential functional equation fulfilled by its corresponding regular linear form.

MSC:

33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
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