Exploring probabilistic Bernstein polynomials: identities and applications
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.
Authors
- Serkan Aracı (ORCID: https://orcid.org/0000-0002-3950-6864)
- Mehmet Açıkgöz (ORCID: https://orcid.org/0000-0003-1091-9697)
- Ayşe Karagenç (ORCID: https://orcid.org/0009-0003-3186-2578)
Institutions
- Hasan Kalyoncu University (TR)
- Gaziantep University (TR)
Publication Details
- Journal
- Applied Mathematics in Science and Engineering
- Published
- 2024-09-05
- DOI
- https://doi.org/10.1080/27690911.2024.2398591
- Citations
- 8
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 10.16