Laguerre polynomials as Jensen polynomials of Laguerre–Pólya entire functions

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摘要

We prove that the only Jensen polynomials associated with an entire function in the Laguerre–Pólya class that are orthogonal are the Laguerre polynomials.

论文关键词:Laguerre–Pólya class,Jensen polynomials,Laguerre polynomials,Bessel functions,Zeros

论文评审过程:Received 31 October 2007, Available online 25 February 2009.

论文官网地址:https://doi.org/10.1016/j.cam.2009.02.039