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

• Main Authors: Sunil Kumar Sharma, Waseem A. Khan, Serkan Araci, Sameh S. Ahmed
• Format: Article
• Language: English
• Published: SpringerOpen 2020-10-01
• Series: Advances in Difference Equations
• Subjects: Fubini polynomials; Degenerate central Fubini polynomials; Degenerate central factorial numbers of the second kind; Poly-Frobenius–Genocchi polynomials
• Online Access: http://link.springer.com/article/10.1186/s13662-020-03055-4

Abstract 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 Z p $\mathbb{Z}_{p}$ . 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.