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http://dx.doi.org/10.5831/HMJ.2012.34.1.11

A NOTE ON THE WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS WITH THEIR INTERPOLATION FUNCTION  

Arac, Serkan (Department of Mathematics, Faculty of Science and Arts, University of Gaziantep)
Ackgoz, Mehmet (Department of Mathematics, Faculty of Science and Arts, University of Gaziantep)
Seo, Jong-Jin (Department of Applied Mathematics, Pukyong National University)
Publication Information
Honam Mathematical Journal / v.34, no.1, 2012 , pp. 11-18 More about this Journal
Abstract
Recently, T. Kim has introduced and analysed the q-Bernoulli numbers and polynomials with weight ${\alpha}$ cf.[7]. By the same motivaton, we also give some interesting properties of the q-Genocchi numbers and polynomials with weight ${\alpha}$. Also, we derive the q-extensions of zeta type functions with weight from the Mellin transformation of this generating function which interpolates the q-Genocchi polynomials with weight at negative integers.
Keywords
Genocchi numbers and polynomials; q-Genocchi numbers and polynomials; q-Genocchi numbers and polynomials with weight;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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