Formulae to Fubini Type Numbers emerge from Application of p-adic Integrals

Abstract

The aim of this manuscript is to examine and survey various formulae for Fubini type numbers and polynomials with application of the p-adic integrals to some special polynomials. Relations and formulae related to the Fubini type numbers and polynomials, the Bernoulli numbers, the Euler numbers, Stirling type numbers, and combinatorial numbers are given. Moreover, by using generating functions with their functional equations, some new formulae including the Hermite polynomials, the Fubini type polynomials, and the Lah numbers are given. Finally, remarks on the results of this manuscript are presented.

Keywords

• Bernoulli Polynomials and Numbers
• Fubini Type Polynomials and Numbers
• Special Polynomials and Numbers
• Generating Function
• p-adic Integral

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