Work

On (p,q)-Bernoulli, (p,q)-Euler and (p,q)-Genocchi Polynomials

Year: 2016

Type: article

Abstract: In the present paper, we introduce a new kind of Bernoulli, Euler and Genocchi polynomials based on the (p,q)-calculus and investigate their some properties involving addition theorems, difference equations, derivative properties, recurrence relationships, and so on. We also derive (p,q)- analogues of some known formulae belong to usual Bernoulli, Euler and Genocchi polynomials. Moreover, we get (p,q)-extension of Cheon's main result. Furthermore, we discover (p,q)-analogue of the main results given earlier by Srivastava and Pintér. © 2016 American Scientific Publishers All rights reserved.

Source: Journal of Computational and Theoretical Nanoscience

DOI: 10.1166/jctn.2016.5785

Authors: Ugur Duran, Mehmet Acikgoz, Serkan Araci

Institutions: Gaziantep University, Hasan Kalyoncu University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2359969474

FWCI: 2.873

Cites:

Cited by: 23

Related to: 10