Version 1
: Received: 19 August 2019 / Approved: 20 August 2019 / Online: 20 August 2019 (11:20:12 CEST)
How to cite:
Khan, W.; Khan, I. A.; Acikgoz, M.; Duran, U. Multifarious Results for q-Hermite Based Frobenius Type Eulerian Polynomials. Preprints2019, 2019080215. https://doi.org/10.20944/preprints201908.0215.v1
Khan, W.; Khan, I. A.; Acikgoz, M.; Duran, U. Multifarious Results for q-Hermite Based Frobenius Type Eulerian Polynomials. Preprints 2019, 2019080215. https://doi.org/10.20944/preprints201908.0215.v1
Khan, W.; Khan, I. A.; Acikgoz, M.; Duran, U. Multifarious Results for q-Hermite Based Frobenius Type Eulerian Polynomials. Preprints2019, 2019080215. https://doi.org/10.20944/preprints201908.0215.v1
APA Style
Khan, W., Khan, I. A., Acikgoz, M., & Duran, U. (2019). Multifarious Results for q-Hermite Based Frobenius Type Eulerian Polynomials. Preprints. https://doi.org/10.20944/preprints201908.0215.v1
Chicago/Turabian Style
Khan, W., Mehmet Acikgoz and Ugur Duran. 2019 "Multifarious Results for q-Hermite Based Frobenius Type Eulerian Polynomials" Preprints. https://doi.org/10.20944/preprints201908.0215.v1
Abstract
In this paper, a new class of q-Hermite based Frobenius type Eulerian polynomials is introduced by means of generating function and series representation. Several fundamental formulas and recurrence relations for these polynomials are derived via different generating methods. Furthermore, diverse correlations including the q-Apostol-Bernoulli polynomials, the q-Apostol-Euler poynoomials, the q-Apostol-Genocchi polynomials and the q-Stirling numbers of the second kind are also established by means of the their generating functions.
Keywords
Hermite polynomials, Frobenius type Eulerian polynomials, Hermite based Frobenius type Eulerian polynomials, q-numbers, q-polynomials.
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.