Parameter-based Fisher's information of orthogonal polynomials

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摘要

The Fisher information of the classical orthogonal polynomials with respect to a parameter is introduced, its interest justified and its explicit expression for the Jacobi, Laguerre, Gegenbauer and Grosjean polynomials found.

论文关键词:33C45,42C04,94A17,62B10,05E35,94A15,Fisher information,Classical orthogonal polynomials,Gegenbauer polynomials,Grosjean polynomials,Jacobi polynomials,Laguerre polynomials

论文评审过程:Received 21 April 2006, Revised 8 February 2007, Available online 28 February 2007.

论文官网地址:https://doi.org/10.1016/j.cam.2007.02.016