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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

On Generalized Some (p, q)-Special Polynomials

Ugur Duran1, Mehmet Acikgoz2 and Serkan Araci3
  • 1 Iskenderun Technical University, Turkey
  • 2 University of Gaziantep, Turkey
  • 3 Hasan Kalyoncu University, Turkey

Abstract

In this study, we introduce a new class of generalized (p, q)-Bernoulli, (p, q)-Euler and (p, q)-Genocchi polynomials and investigate their some properties. We derive (p, q)-generalizations of some familiar formulae belonging to classical Bernoulli, Euler and Genocchi polynomials. We also obtain a (p, q)-extension of the Srivastava-Pintér addition theorem.

Journal of Mathematics and Statistics
Volume 14 No. 1, 2018, 129-140

DOI: https://doi.org/10.3844/jmssp.2018.129.140

Submitted On: 16 February 2018 Published On: 18 May 2018

How to Cite: Duran, U., Acikgoz, M. & Araci, S. (2018). On Generalized Some (p, q)-Special Polynomials. Journal of Mathematics and Statistics, 14(1), 129-140. https://doi.org/10.3844/jmssp.2018.129.140

Open AccessCopyright: © 2018 Ugur Duran, Mehmet Acikgoz and Serkan Araci. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • (p, q)-Calculus
  • Generalized Bernoulli Polynomials
  • Generalized Euler Polynomials
  • Generalized Genocchi Polynomials
  • Generating Function
  • Cauchy Product