Abstract
Connection between two sequences of orthogonal polynomials, where the associated measures are related to each other by a first degree polynomial multiplication (or division), are looked at. The results are applied to obtain information regarding Sobolev orthogonal polynomials associated with certain pairs of measures.
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Berti, A., Bracciali, C. & Sri Ranga, A. Orthogonal Polynomials Associated with Related Measures and Sobolev Orthogonal Polynomials. Numerical Algorithms 34, 203–216 (2003). https://doi.org/10.1023/B:NUMA.0000005363.32764.d3
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DOI: https://doi.org/10.1023/B:NUMA.0000005363.32764.d3