  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.
