1Department of Mathematics, Faculty of Arts and Science, University of Gaziantep, Gaziantep, Turkey
2Department of Economics, Faculty of Economics, Administrative and Social Science, Hasan Kalyoncu University, Gaziantep, Turkey
Turkish Journal of Analysis and Number Theory.
2015,
Vol. 3 No. 5, 128-139
DOI: 10.12691/tjant-3-5-4
Copyright © 2015 Science and Education PublishingCite this paper: Mehmet Acikgoz, Serkan Araci, Uğur Duran. New Extensions of Some Known Special Polynomials under the Theory of Multiple q-Calculus.
Turkish Journal of Analysis and Number Theory. 2015; 3(5):128-139. doi: 10.12691/tjant-3-5-4.
Correspondence to: Serkan Araci, Department of Economics, Faculty of Economics, Administrative and Social Science, Hasan Kalyoncu University, Gaziantep, Turkey. Email:
mtsrkn@hotmail.comAbstract
In the year 2014, the idea of multiple q-calculus was formulated and introduced in the book of Nalci and Pashaev [9] in which this idea is simple but elegant method in order to derive new generating functions of some special polynomials that are generalizations of known q-polynomials. In this paper, we will use Nalci and Pashaev’s method in order to find a systematic study of new types of the Bernoulli polynomials, Euler polynomials and Genocchi polynomials. Also we will obtain recursive formulas for these polynomials.
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