Some Determinants Involving Incomplete Fubini Numbers

Abstract

We study some properties of restricted and associated Fubini numbers. In particular, they have the natural extensions of the original Fubini numbers in the sense of determinants. We also introduce modified Bernoulli and Cauchy numbers and study characteristic properties.

Keywords

• determinantal identities
• fubini numbers
• trudi’s formula
• primary 11c20
• secondary 15b05, 05a18, 11b75