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A Note on $(P,Q)$-Analogue Type of Fubini Numbers and Polynomials

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Submitted:

25 April 2019

Posted:

28 April 2019

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Abstract
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.
Keywords: 
$(p,q)$-calculus; $(p;q)$-Bernoulli polynomials; $(p;q)$-Euler polynomials; $(p;q)$-Genocchi polynomials; $(p;q)$-Fubini numbers and polynomials; $(p;q)$ Stirling numbers of the second kind
Subject: 
Computer Science and Mathematics  -   Algebra and Number Theory
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.

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