Analytic Continuation of weighted q-Genocchi numbers and polynomials

Details Analytic Continuation of weighted q-Genocchi numbers and polynomials Analytic Continuation of weighted q-Genocchi numbers and polynomials

2012-04-09

arxiv.org/abs/1204.1996v2

Mathematics

Number Theory

5 pages, submitted

Scientific paper

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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