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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) measures is considered on curves in C. Some applications lead to multiple …