Sharp bounds for the extreme zeros of classical orthogonal polynomials |
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| Authors: | Dimitar K. Dimitrov Geno P. Nikolov |
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| Affiliation: | 1. Departamento de Ciências de Computação e Estatística, IBILCE, Universidade Estadual Paulista, 15054-000 São José do Rio Preto, SP, Brazil;2. Department of Mathematics, University of Sofia, 5 James Bourchier Boulevard, 1164 Sofia, Bulgaria |
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| Abstract: | Bounds for the extreme zeros of the classical orthogonal polynomials are obtained by a surprisingly simple method. Nevertheless, it turns out that, in most cases, the estimates obtained in this note are better than the best limits known in the literature. |
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