New construction of type 2 degenerate central Fubini polynomials with their certain properties

Advances in Difference Equations

article

Sharma, Sunil Kumar¹  Khan, Waseem A.²  Araci, Serkan³  Ahmed, Sameh S.⁴ 

[1] College of Computer and Information Sciences, Majmaah University;Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University;Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University;Department of Civil and Environmental Engineering, College of Engineering, Majmaah University

关键词: Fubini polynomials;    Degenerate central Fubini polynomials;    Degenerate central factorial numbers of the second kind;    Poly-Frobenius–Genocchi polynomials;   

DOI  :  10.1186/s13662-020-03055-4

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

Kim et al. (Proc. Jangjeon Math. Soc. 21(4):589–598, 2018) have studied the central Fubini polynomials associated with central factorial numbers of the second kind. Motivated by their work, we introduce degenerate version of the central Fubini polynomials. We show that these polynomials can be represented by the fermionic p-adic integral on$\mathbb{Z}_{p}$ . From the fermionic p-adic integral equations, we derive some new properties related to degenerate central factorial numbers of the second kind and degenerate Euler numbers of the second kind.

【 授权许可】

CC BY