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Relative Fisher information of discrete classical orthogonal polynomials

✍ Scribed by Dehesa, J. S.; Sánchez-Moreno, P.; Yáñez, R. J.


Book ID
120221878
Publisher
Taylor and Francis Group
Year
2012
Tongue
English
Weight
264 KB
Volume
18
Category
Article
ISSN
1023-6198

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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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It is well-known that the family of Hahn polynomials {h α,β n (x; N)} n≥0 is orthogonal with respect to a certain weight function up to degree N. In this paper we prove, by using the three-term recurrence relation which this family satisfies, that the Hahn polynomials can be characterized by a ∆-Sob