Orthogonal Polynomials Associated with Related Measures and Sobolev Orthogonal Polynomials |
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Authors: | AC Berti CF Bracciali A Sri Ranga |
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Institution: | 1. SCE, ICMC, Universidade de S?o Paulo (USP), Cx.P. 668, 13560-970, S?o Carlos, SP, Brazil 2. DCCE, IBILCE, Universidade Estadual Paulista (UNESP), Rua Cristóv?o Colombo, 2265, 15054-000, S?o José do Rio Preto, SP, Brazil
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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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