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Fisher information of special functions and second-order differential equations
Citation
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 |
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| Author/s: |
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| 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 |
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 |
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| DC Identifier: | https://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 |
