32 research outputs found
Exceptional Askey-Wilson type polynomials through Darboux-Crum transformations
Get PDFAn alternative derivation is presented of the infinitely many exceptional
Wilson and Askey-Wilson polynomials, which were introduced by the present
authors in 2009. Darboux-Crum transformations intertwining the discrete quantum
mechanical systems of the original and the exceptional polynomials play an
important role. Infinitely many continuous Hahn polynomials are derived in the
same manner. The present method provides a simple proof of the shape invariance
of these systems as in the corresponding cases of the exceptional Laguerre and
Jacobi polynomials.Comment: 24 pages. Comments and references added. To appear in J.Phys.
Investigation into phase transformations and structural and luminescent properties of multiphase coatings and aluminum oxide nanopowder prepared by evaporation with a pulsed electron beam
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Dipole moment of a small water cluster. The effect of size, temperature, and electric field
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The effect of erbium and oxygen on the photoluminescence intensity of erbium and the composition of a-SiOx:(H, Er, O) films deposited by DC magnetron sputtering
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