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New examples of Krall-Meixner and Krall-Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials. (English) Zbl 1506.42033

The essential purpose of the authors is to set up some new examples of Krall-Meixner and Krall-Hahn measures which include the measures obtained from the Meixner and Hahn measures.

MSC:

42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
33E30 Other functions coming from differential, difference and integral equations
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References:

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