Fisher information of orthogonal polynomials I
Diego Dominici
TL;DR
This paper computes the Fisher information for various orthogonal polynomials, extending the understanding of their statistical properties and potential applications in mathematical physics and information theory.
Contribution
It introduces explicit formulas for the Fisher information of Meixner-Pollaczek, Meixner, Krawtchouk, and Charlier polynomials, a novel contribution in the study of these polynomials.
Findings
Explicit Fisher information formulas derived for each polynomial family.
Enhanced understanding of the statistical properties of these orthogonal polynomials.
Potential applications in quantum mechanics and information theory.
Abstract
Following the lead of J. Dehesa and his collaborators, we compute the Fisher information of the Meixner-Pollaczek, Meixner, Krawtchouk and Charlier polynomials.
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Taxonomy
TopicsMathematical functions and polynomials · Iterative Methods for Nonlinear Equations · Matrix Theory and Algorithms