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Open AccessArticle

A Parametric Kind of Fubini Polynomials of a Complex Variable

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College of Computer and Information Sciences, Majmaah University, Majmaah 11952, Saudi Arabia
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Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia
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Department of Mathematics, Hannam University, Daejeon 34430, Korea
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(4), 643; https://doi.org/10.3390/math8040643
Received: 31 March 2020 / Revised: 15 April 2020 / Accepted: 16 April 2020 / Published: 22 April 2020
(This article belongs to the Special Issue Special Polynomials)
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. View Full-Text
Keywords: Bernoulli polynomials; Euler polynomials; Genocchi polynomials; Fubini polynomials; Stirling numbers Bernoulli polynomials; Euler polynomials; Genocchi polynomials; Fubini polynomials; Stirling numbers
MDPI and ACS Style

Sharma, S.K.; Khan, W.A.; Ryoo, C.S. A Parametric Kind of Fubini Polynomials of a Complex Variable. Mathematics 2020, 8, 643.

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