Work

p-Adic integral on $\mathbb{Z}_{p}$ associated with degenerate Bernoulli polynomials of the second kind

Year: 2020

Type: article

Abstract: In this paper, by means of p -adic Volkenborn integrals we introduce and study two different degenerate versions of Bernoulli polynomials of the second kind, namely partially and fully degenerate Bernoulli polynomials of the second kind, and also their higher-order versions. We derive several explicit expressions of those polynomials and various identities involving them.

Source: Advances in Difference Equations

DOI: 10.1186/s13662-020-02746-2

Authors: Lee-Chae Jang, Dae San Kim, Taekyun Kim, Hyunseok Lee

Institutions: Konkuk University, Sogang University, Kwangwoon University, Xi'an Technological University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,790

OpenAlex ID: W3034696731

FWCI: 3.906

Cites: 25

Cited by: 11

Related to: 10