Laguerre polynomials as Jensen polynomials of Laguerre-Polya entire functions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article; Proceedings Paper

Dimitrov, Dimitar K.¹  Cheikh, Youssef Ben² 

[1] Univ Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estatistica, Sao Paulo, Brazil

[2] Fac Sci Monastir, Dept Math, Monastir 5019, Tunisia

关键词: Laguerre-Polya class;    Jensen polynomials;    Laguerre polynomials;    Bessel functions;    Zeros;   

DOI  :  10.1016/j.cam.2009.02.039

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free