Central and local limit theorems for the weighted Delannoy numbers

Igoris Belovas

doi:10.2478/auom-2022-0017

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Central and local limit theorems for the weighted Delannoy numbers

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 30 (2022): Issue 2 (May 2022)

By: Igoris Belovas

Open Access

|Jun 2022

Abstract

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.

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