Articles with "classical orthogonal" as a keyword



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On the modifications of semi-classical orthogonal polynomials on nonuniform lattices

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Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2016.06.041

Abstract: Abstract Semi classical orthogonal polynomials on nonuniform lattices with respect to a linear functional L are defined as polynomials ( P n ) where the degree of P n is exactly n, the P n… read more here.

Keywords: nonuniform lattices; classical orthogonal; linear functional; semi classical ... See more keywords
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On classical orthogonal polynomials related to Hahn's operator

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Published in 2019 at "Integral Transforms and Special Functions"

DOI: 10.1080/10652469.2019.1702981

Abstract: ABSTRACT Let be a non-zero linear functional acting on the space of polynomials. Let be a Hahn operator acting on the dual space of polynomials. Suppose that there exist polynomials φ and ψ, with and… read more here.

Keywords: hahn operator; related hahn; orthogonal polynomials; polynomials related ... See more keywords
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Dunkl-supersymmetric orthogonal functions associated with classical orthogonal polynomials

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Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"

DOI: 10.1088/1751-8121/ab63a9

Abstract: We consider the eigenvalue problem associated with the Dunkl-type differential operator (in which the reflection operator R is involved) L = dx R + v(x), (v(-x) = -v(x)), in the context of supersymmetric quantum mechanical… read more here.

Keywords: dunkl supersymmetric; orthogonal polynomials; dunkl; supersymmetric orthogonal ... See more keywords