On Perfectness of Systems of Weights Satisfying Pearson’s Equation with Nonstandard Parameters

On Perfectness of Systems of Weights Satisfying Pearson’s Equation with Nonstandard Parameters

Measures generating classical orthogonal polynomials are determined by Pearson’s equation, whose parameters usually provide the positivity of the measures. The case of general complex parameters (nonstandard) is also of interest; the non-Hermitian orthogonality with respect to (now complex-valued) m...

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Bibliographic Details
Main Authors: Alexander Aptekarev, Alexander Dyachenko, Vladimir Lysov
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Axioms
Subjects:
classical orthogonal polynomials
discrete orthogonal polynomials
Pearson’s equation
Rodrigues’s formula
multiple orthogonality
Hermite–Padé polynomials
Online Access:https://www.mdpi.com/2075-1680/12/1/89

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