A generalization of the class laguerre polynomials: asymptotic properties and zeros |
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| Authors: | R Alvarez-Nodarse F Marcellan |
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| Institution: | Departamento de Matematicas , Escuela Politdcnica Superior. Unirer.sidad Carlos III de Aladrid , Leganes, 28911, Madrid |
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| Abstract: | We consider a modification of the gamma distribution by adding a discrete measure Support in the point x = 0. We study some properties of the polynomials orthogonal with respect to such measures 1]. In particular, we deduce the second order differential to'1ttatiolt and the three term recurrence relation which such polynomials satisfy as well as, for large n. the behaviour of their zeros. |
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| Keywords: | Laguerre polynomials discrete measures zeros |
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