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Research Article | Open Access

Discrete quasiprobability distributions involving Bernoulli polynomials

Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Abstract

The aim of this short paper is to present a new family of discrete densities with two parameters based on Bernoulli numbers and polynomials. We use the properties of such numbers in order to compute the first moments and the density of a finite sum of such independent variables.

Keywords

quasiprobabilityBernoulli numbersStirling numbersPlanck's lawpoisson distribution
CLC number: 60E05, 62E15

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AIMS Mathematics
Volume 8 Issue 6,
June 2023
Pages 12819-12829
DOI: 10.3934/math.2023645

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Cite this article:
Almutairi B. Discrete quasiprobability distributions involving Bernoulli polynomials. AIMS Mathematics, 2023, 8(6): 12819-12829. https://doi.org/10.3934/math.2023645

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Received: 20 December 2022
Revised: 27 February 2023
Accepted: 06 March 2023
Published: 15 June 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)