A Parametric Kind of Fubini Polynomials of a Complex Variable

Abstract

In this paper, we propose a parametric kind of Fubini polynomials by defining the two specific generating functions. We also investigate some analytical properties (for example, summation formulae, differential formulae and relationships with other well-known polynomials and numbers) for our introduced polynomials in a systematic way. Furthermore, we consider some relationships for parametric kind of Fubini polynomials associated with Bernoulli, Euler, and Genocchi polynomials and Stirling numbers of the second kind.

Keywords

• Bernoulli polynomials
• Euler polynomials
• Genocchi polynomials
• Fubini polynomials
• Stirling numbers