Central Limit Theorems for Combinatorial Numbers Associated with Laguerre Polynomials

Central Limit Theorems for Combinatorial Numbers Associated with Laguerre Polynomials

In this paper, we study limit theorems for numbers satisfying a class of triangular arrays, which are defined by a bivariate linear recurrence with bivariate linear coefficients. We obtain analytical expressions for the semi-exponential generating function of several classes of the numbers, includin...

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Bibliographic Details
Main Author: Igoris Belovas
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Mathematics
Subjects:
limit theorems
combinatorial numbers
generating functions
asymptotic enumeration
asymptotic normality
Laguerre polynomials
Online Access:https://www.mdpi.com/2227-7390/10/6/865

Internet

https://www.mdpi.com/2227-7390/10/6/865

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