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

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 num...

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Bibliografiske detaljer
Hovedforfatter:	Igoris Belovas
Format:	Article
Sprog:	English
Udgivet:	Vilnius University Press 2021-03-01
Serier:	Lietuvos Matematikos Rinkinys
Fag:	limit theorems combinatorial numbers asymptotic enumeration asymptotic normality Hermite polynomials
Online adgang:	https://www.zurnalai.vu.lt/LMR/article/view/22466

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