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arXiv · 1204.1996

Analytic Continuation of weighted q-Genocchi numbers and polynomials

Serkan Araci·Mehmet Acikgoz·Aynur Gursul
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Abstract

In the present paper, we analyse analytic continuation of weighted q-Genocchi numbers and polynomials. A novel formula for weighted q-Genocchi- Zeta function {\zeta}G,q (s | {\alpha}) in terms of nested series of {\zeta}G,q (n | {\alpha}) is derived. Moreover, we introduce a novel concept of dynamics of the zeros of analytically continued weighted q-Genocchi polynomials.

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Serkan Araci, Mehmet Acikgoz, Aynur Gursul. 2012-04-09. Analytic Continuation of weighted q-Genocchi numbers and polynomials. https://doi.org/10.4134/ckms.2013.28.3.457

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