Orthogonality with respect to the sum of two semiclassical regular linear forms (Q1184800)

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scientific article; zbMATH DE number 35024
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Orthogonality with respect to the sum of two semiclassical regular linear forms
scientific article; zbMATH DE number 35024

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    Orthogonality with respect to the sum of two semiclassical regular linear forms (English)
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    28 June 1992
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    The linear form sum of two semiclassical regular linear forms verifies in general a second-order differential equation. In this paper, the authors study some situations where this new form remains semiclassical. The sequences of polynomials orthogonal with respect to this new form, called of second category, have associated polynomials which do not belong to the Laguerre-Hahn class.
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    Stieltjes functions
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    semiclassical form
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    Laguerre-Hahn class
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