Two variable higher-order central Fubini polynomials

Journal of Inequalities and Applications

Dae San Kim¹  Dojin Kim²  Taekyun Kim³  Gwan-Woo Jang³ 

[1] 0000 0001 0286 5954, grid.263736.5, Department of Mathematics, Sogang University, Seoul, Republic of Korea;0000 0001 0719 8572, grid.262229.f, Department of Mathematics, Pusan National University, Busan, Republic of Korea;0000 0004 0533 0009, grid.411202.4, Department of Mathematics, Kwangwoon University, Seoul, Republic of Korea;

关键词: Two variable higher-order central Fubini polynomials;    Two variable central Fubini polynomials;    Umbral calculus;   

DOI  :  10.1186/s13660-019-2100-0

来源: publisher

【 摘 要 】

Recently, the central Fubini polynomials were introduced in connection with central factorial numbers of the second kind. In this paper, we consider two variable higher-order central Fubini polynomials as a ‘central analogue’ of two variable higher-order Fubini polynomials. We investigate some properties, identities, and recurrence relations for these polynomials by making use of generating functions and umbral calculus. In particular, we obtain various expressions for the two variable higher-order central Fubini polynomials and express them in terms of some families of special polynomials and vice versa.

【 授权许可】

CC BY