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

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Keywords

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