Laguerre polynomials as Jensen polynomials of Laguerre-Polya entire functions

Otro

Registro en:

Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 233, n. 3, p. 703-707, 2009.

0377-0427

http://hdl.handle.net/11449/21756

http://acervodigital.unesp.br/handle/11449/21756

10.1016/j.cam.2009.02.039

WOS:000271346000016

http://dx.doi.org/10.1016/j.cam.2009.02.039

http://repositorioslatinoamericanos.uchile.cl/handle/2250/867278

Autor

Dimitrov, Dimitar Kolev

Cheikh, Youssef Ben

Institución

Universidade Paulista Júlio de Mesquita Filho (Brasil)

Resumen

We prove that the only Jensen polynomials associated with an entire function in the Laguerre-Polya class that are orthogonal are the Laguerre polynomials. (C) 2009 Elsevier B.V. All rights reserved.

Materias

Laguerre-Polya class

Jensen polynomials

Laguerre polynomial

Bessel functions

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