A central limit theorem for numbers satisfying a class of triangular arrays associated with Hermite polynomials

The paper extends the investigations of limit theorems for numbers satisfying a class of triangular arrays. We obtain analytical expressions for the semiexponential generating function the numbers, associated with Hermite polynomials. We apply the results to prove the asymptotic normality of the nu...

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Bibliographic Details
Main Author: Igoris Belovas
Format: Article
Language:English
Published: Vilnius University Press 2021-03-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/22466
Description
Summary:The paper extends the investigations of limit theorems for numbers satisfying a class of triangular arrays. We obtain analytical expressions for the semiexponential generating function the numbers, associated with Hermite polynomials. We apply the results to prove the asymptotic normality of the numbers and specify the convergence rate to the limiting distribution.    
ISSN:0132-2818
2335-898X