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Some Properties of $Q$-Hermite Fubini Numbers and Polynomials
Version 1
: Received: 26 April 2019 / Approved: 28 April 2019 / Online: 28 April 2019 (10:15:26 CEST)
How to cite: Khan, W.A. Some Properties of $Q$-Hermite Fubini Numbers and Polynomials. Preprints 2019, 2019040309. https://doi.org/10.20944/preprints201904.0309.v1 Khan, W.A. Some Properties of $Q$-Hermite Fubini Numbers and Polynomials. Preprints 2019, 2019040309. https://doi.org/10.20944/preprints201904.0309.v1
Abstract
The main purpose of this paper is to introduce a new class of $q$-Hermite-Fubini numbers and polynomials by combining the $q$-Hermite polynomials and $q$-Fubini polynomials. By using generating functions for these numbers and polynomials, we derive some alternative summation formulas including powers of consecutive $q$-integers. Also, we establish some relationships for $q$-Hermite-Fubini polynomials associated with $q$-Bernoulli polynomials, $q$-Euler polynomials and $q$-Genocchi polynomials and $q$-Stirling numbers of the second kind.
Keywords
$q$-Hermite polynomials; $q$-Hermite-Fubini polynomials; $q$-Bernoulli polynomials; $q$-Euler polynomials; $q$-Genocchi polynomials; 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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