Jacobi sequences of powers of random variables

被引：2
作者：
Accardi, Luigi [1 ]
Barhoumi, Abdessatar [2 ]
Rhaima, Mohamed [3 ]
机构：
[1] Univ Roma Tor Vergata, Ctr Vito Volterra, Via Tor Vergata, I-00133 Rome, Italy
[2] Univ Carthage, Nabeul Preparatory Engn Inst, Dept Math, Campus Univ, Mrezgua 8000, Nabeul, Tunisia
[3] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia
来源：
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2018年 / 21卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
Jacobi sequences; orthogonal polynomials; random variable; orthogonal projections; INTERACTING FOCK SPACES; PROBABILITY-MEASURES;
D O I：
10.1142/S0219025718500017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页数：22
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