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A Note on $(P,Q)$-Analogue Type of Fubini Numbers and Polynomials
Version 1
: Received: 25 April 2019 / Approved: 28 April 2019 / Online: 28 April 2019 (09:56:29 CEST)
How to cite: Khan, W.A. A Note on $(P,Q)$-Analogue Type of Fubini Numbers and Polynomials. Preprints 2019, 2019040308. https://doi.org/10.20944/preprints201904.0308.v1 Khan, W.A. A Note on $(P,Q)$-Analogue Type of Fubini Numbers and Polynomials. Preprints 2019, 2019040308. https://doi.org/10.20944/preprints201904.0308.v1
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 is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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