A note on (p, q)-analogue type of Fubini numbers and polynomials

• Published in: AIMS mathematics Vol. 5; no. 3; pp. 2743 - 2757
• Main Authors: Ahmad Khan, Waseem, Sooppy Nisar, Kottakkaran, Baleanu, Dumitru
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2020
• Subjects: q)-bernoulli polynomials; q)-calculus; q)-euler polynomials; q)-fubini numbers and polynomials; q)-genocchi polynomials; q)-stirling numbers of the second kind
• ISSN: 2473-6988; 2473-6988
• DOI: 10.3934/math.2020177

In this paper, we introduce a new class of (p, q)-analogue type of Fubini numbers and polynomials and investigate some properties of these polynomials. We establish summation formulas of these polynomials by summation techniques series. Furthermore, we consider some relationships for (p, q)-Fubini polynomials associated with (p, q)-Bernoulli polynomials, (p, q)-Euler polynomials and (p, q)-Genocchi polynomials and (p, q)-Stirling numbers of the second kind.