| Title |
Centrinė ribinė teorema trikampių masyvų klasės skaičiams, asocijuotiems su Ermito daugianariais |
| Translation of Title |
A central limit theorem for numbers satisfying a class of triangular arrays associated with Hermite polynomials. |
| Authors |
Belovas, Igoris |
| DOI |
10.15388/LMR.2020.22466 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. Serija B.. Vilnius : Vilniaus universiteto leidykla. 2020, t. 61, p. 1-7.. ISSN 0132-2818. eISSN 2335-898X |
| Keywords [eng] |
limit theorems ; combinatorial numbers ; asymptotic enumeration ; asymptotic normality ; Hermite polynomials |
| Abstract [eng] |
The paper extends the investigations of limit theorems for numbers satisfyinga class of triangular arrays. We obtain analytical expressions for the semi-exponential generating function the numbers, associated with Hermite polyno-mials. We apply the results to prove the asymptotic normality of the numbersand specify the convergence rate to the limiting distribution. |
| Published |
Vilnius : Vilniaus universiteto leidykla |
| Type |
Journal article |
| Language |
Lithuanian |
| Publication date |
2020 |
| CC license |
|
