polynomials with respect to a parameter is introduced, its interest justified and its explicit expression for the Jacobi, Laguerre, Gegenbauer and Grosjean polynomials found.
Fisher information of orthogonal polynomials I
β Scribed by Diego Dominici
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 415 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
β¦ Synopsis
Following the lead of J. Dehesa and his collaborators, we compute the Fisher information of the Meixner-Pollaczek, Meixner, Krawtchouk and Charlier polynomials.
π SIMILAR VOLUMES
Given {P n } nβ₯0 a sequence of monic orthogonal polynomials, we analyze their linear combinations with constant coefficients and fixed length, i.e., Necessary and sufficient conditions are given for the orthogonality of the sequence {Q n } nβ₯0 . An interesting interpretation in terms of the Jacobi
## Abstract Inverses and inverse square roots of overlap matrices are approximated by polynomials constructed on the basis of an integral transform of the metric resolvent and Kublanovskaya's conformal mapping technique. Given reasonable upper and lower bounds for the support of the overlap matrix