Central and local limit theorems for the weighted Delannoy numbers
| 02. Juni 2022
Über diesen Artikel
Online veröffentlicht: 02. Juni 2022
Seitenbereich: 25 - 44
Eingereicht: 01. Apr. 2021
Akzeptiert: 15. Sept. 2021
DOI: https://doi.org/10.2478/auom-2022-0017
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© 2022 Igoris Belovas, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In this research we generalize our result for numbers satisfying the Delannoy triangle. We obtain a central limit theorem and a local limit theorem for weighted numbers of the triangle and establish the rate of convergence to the limiting (normal) distribution.