Turkish Journal of Analysis and Number Theory
ISSN (Print): 2333-1100 ISSN (Online): 2333-1232 Website: http://www.sciepub.com/journal/tjant
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Turkish Journal of Analysis and Number Theory. 2017, 5(4), 126-131
DOI: 10.12691/tjant-5-4-2
Open AccessArticle

Relations on the Apostol Type (p, q)-Frobenius-Euler Polynomials and Generalizations of the Srivastava-Pintér Addition Theorems

Burak Kurt1,

1Department of Mathematics, Faculty of Educations, University of Akdeniz

Pub. Date: June 14, 2017

Cite this paper:
Burak Kurt. Relations on the Apostol Type (p, q)-Frobenius-Euler Polynomials and Generalizations of the Srivastava-Pintér Addition Theorems. Turkish Journal of Analysis and Number Theory. 2017; 5(4):126-131. doi: 10.12691/tjant-5-4-2

Abstract

In this work, we define and introduce a new kind of the Apostol type Frobenius-Euler polynomials based on the (p, q)-calculus and investigate their some properties, recurrence relationships and so on. We give some identities at this polynomial. Moreover, we get (p, q)-extension of Carlitz’s main result in [1].

Keywords:
Generating function Frobenius-Euler polynomials and numbers (p q)-calculus (p q)-Frobenius-Euler polynomials Apostol-Bernoulli number and polynomials generalized q-Bernoulli polynomials generalized q-Euler polynomials.

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