Work

Bell-Based Bernoulli Polynomials with Applications

Year: 2021

Type: article

Abstract: In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas related to the Bell polynomials and Stirling numbers of the second kind. Then, we introduce Bell-based Bernoulli polynomials of order α and investigate multifarious correlations and formulas including some summation formulas and derivative properties. Also, we acquire diverse implicit summation formulas and symmetric identities for Bell-based Bernoulli polynomials of order α. Moreover, we attain several interesting formulas of Bell-based Bernoulli polynomials of order α arising from umbral calculus.

Source: Axioms

DOI: 10.3390/axioms10010029

Authors: Ugur Duran, Serkan Araci, Mehmet Acikgoz

Institutions: İskenderun Technical University, Hasan Kalyoncu University, Gaziantep University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,512

OpenAlex ID: W3134620498

FWCI: 3.99

Cites: 24

Cited by: 30

Related to: 10