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http://dx.doi.org/10.14317/jami.2012.30.1_2.337

A NOTE ON THE TWISTED $q$-GENOCCHI NUMBERS AND POLYNOMIALS WITH WEIGHT ${\alpha}$  

Lee, H.Y. (Department of Mathematics, Hannam University)
Publication Information
Journal of applied mathematics & informatics / v.30, no.1_2, 2012 , pp. 337-346 More about this Journal
Abstract
In this paper we construct a new type of twisted $q$-Genocchi numbers $G_{n,q,w}^{({\alpha})}$ and polynomials $G_{n,q,w}^{({\alpha})}(x)$. Some interesting results and relationships are obtained.
Keywords
Euler numbers; Genocchi numbers and polynomials; $q$-Genocchi numbers and polynomials; weighted $q$-Genocchi numbers and polynomials;
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