Jacobi sequences of powers of random variables

Luigi Accardi; Abdessatar Barhoumi; Mohamed Rhaima

doi:10.1142/S0219025718500017

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Jacobi sequences of powers of random variables

Journal article

Peer reviewed

Jacobi sequences of powers of random variables

Luigi Accardi, Abdessatar Barhoumi and Mohamed Rhaima

Infinite dimensional analysis, quantum probability, and related topics, Vol.21(1), p.1850001

01/03/2018

DOI: https://doi.org/10.1142/S0219025718500017

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Physics

Physics, Mathematical

Quantum Science & Technology

Science & Technology

Statistics & Probability

We express, in full generality, the Jacobi sequences and the orthogonal polynomials of the powers of a real-valued random variable X with all moments, as functions of the corresponding sequences of the random variable itself.

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Details

Title: Jacobi sequences of powers of random variables
Creators - without role: Luigi Accardi - University of Rome Tor Vergata
Abdessatar Barhoumi - University of Carthage
Mohamed Rhaima - Tunis El Manar University
Publication Details: Infinite dimensional analysis, quantum probability, and related topics, Vol.21(1), p.1850001
Publisher: World Scientific
Number of pages: 22
Grant note: RSF 14-11-00687 / Russian Science Foundation; Russian Science Foundation (RSF)
Identifiers: 9919984108331
Academic Unit: King Faisal University
Language: English
Resource Type: Journal article