Truncated Fubini Polynomials

Abstract

In this paper, we introduce the two-variable truncated Fubini polynomials and numbers and then investigate many relations and formulas for these polynomials and numbers, including summation formulas, recurrence relations, and the derivative property. We also give some formulas related to the truncated Stirling numbers of the second kind and Apostol-type Stirling numbers of the second kind. Moreover, we derive multifarious correlations associated with the truncated Euler polynomials and truncated Bernoulli polynomials.

Keywords

• Fubini polynomials
• Euler polynomials
• Bernoulli polynomials
• truncated exponential polynomials
• Stirling numbers of the second kind