Work

Exploring probabilistic Bernstein polynomials: identities and applications

Year: 2024

Type: article

Abstract: In this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius–Euler polynomials of higher order, Stirling numbers of the second kind and Bell polynomials subject to several special random variables.

Source: Applied Mathematics in Science and Engineering

DOI: 10.1080/27690911.2024.2398591

Authors: Ayse Karagenc, Mehmet Acikgoz, Serkan Araci

Institutions: Gaziantep University, Hasan Kalyoncu University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402323081

FWCI: 11.45

Cites: 23

Cited by: 15

Related to: 10