Fisher information of special functions and second-order differential equations

Yáñez García, Rafael and Zarzo Altarejos, Alejandro and Sánchez-Dehesa Moreno-Cid, Jesús (2008). Fisher information of special functions and second-order differential equations. "Journal of Mathematical Physics", v. 49 (n. 8); pp. 82-104. ISSN 0022-2488. https://doi.org/10.1063/1.2968341.

Description

Title: Fisher information of special functions and second-order differential equations
Author/s:
  • Yáñez García, Rafael
  • Zarzo Altarejos, Alejandro
  • Sánchez-Dehesa Moreno-Cid, Jesús
Item Type: Article
Título de Revista/Publicación: Journal of Mathematical Physics
Date: August 2008
ISSN: 0022-2488
Volume: 49
Subjects:
Freetext Keywords: Special functions, Information theory, Fisher information, Differential equations, Hypergeometric-type equations, Classical orthogonal polynomials
Faculty: E.T.S.I. Industriales (UPM)
Department: Matemática Aplicada a la Ingeniería Industrial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We investigate a basic question of information theory, namely the evaluation of the Fisher information and the relative Fisher information with respect to a nonnegative function, for the probability distributions obtained by squaring the special functions of mathematical physics which are solutions of second-order differential equations. Emphasis is made in the Nikiforov-Uvarov hypergeometric-type functions. We obtain explicit expressions for these information-theoretic properties via the expectation values of the coefficients of the differential equation. We illustrate our approach for various special functions of physico-mathematical interest.

More information

Item ID: 2887
DC Identifier: http://oa.upm.es/2887/
OAI Identifier: oai:oa.upm.es:2887
DOI: 10.1063/1.2968341
Official URL: http://jmp.aip.org/jmapaq/v49/i8
Deposited by: Memoria Investigacion
Deposited on: 23 Apr 2010 07:59
Last Modified: 20 Apr 2016 12:31
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