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• W4377823370 endingPage "508" @default.
• W4377823370 startingPage "475" @default.
• W4377823370 abstract "Abstract The aim here is to consider the orthogonal polynomials with respect to an inner product of the type , where and is a coherent pair of positive measures of the second kind on the real line (CPPM2K on the real line). Properties of and the connection formulas they satisfy with the orthogonal polynomials associated with the measure ν 0 are analyzed. It is also shown that the zeros of are the eigenvalues of a matrix, which is a single line modification of the Jacobi matrix associated with the measure ν 0 . The paper also looks at a special example of a CPPM2K on the real line, where one of the measures is the Jacobi measure, and provides a much more detailed study of the properties of the orthogonal polynomials and the corresponding connection coefficients. In particular, the relation that these connection coefficients have with the Wilson polynomials is exposed." @default.
• W4377823370 created "2023-05-24" @default.
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• W4377823370 date "2023-05-22" @default.
• W4377823370 modified "2023-10-17" @default.
• W4377823370 title "Coherent pairs of measures of the second kind on the real line and Sobolev orthogonal polynomials. An application to a Jacobi case" @default.
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• W4377823370 doi "https://doi.org/10.1111/sapm.12583" @default.
• W4377823370 hasPublicationYear "2023" @default.
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