doiSerbia

Some results on degenerate Fubini and degenerate Bell polynomials

Kim Taekyun (Department of Mathematics, Kwangwoon University, Seoul, Republic of Korea), tkkim@kw.ac.kr
Kim Dae San (Department of Mathematics, Sogang University, Seoul, Republic of Korea), dskim@sogang.ac.kr

The aim of this paper is to further study some properties and identities on the degenerate Fubini and the degenerate Bell polynomials which are degenerate versions of the Fubini and the Bell polynomials, respectively. Especially, we find several expressions for the generating function of the sum of the values of the generalized falling factorials at positive consecutive integers.

Keywords: Degenerate Fubini polynomials, Degenerate Bell polynomials