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

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Lietuvos matematikos rinkinys

سال: 2021

ISSN: ['0132-2818', '2335-898X']

DOI: https://doi.org/10.15388/lmr.2020.22466