Calculating Zeros of the q-Genocchi Polynomials Associated with p-Adic q-Integral on ℤp

Abstract EN

In this paper we construct the new analogues of Genocchi the numbers and polynomials.

We also observe the behavior of complex roots of the q-Genocchi polynomials Gn,q(x), using numerical investigation.

By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the q-Genocchi polynomials Gn,q(x).

Finally, we give a table for the solutions of the q-Genocchi polynomials Gn,q(x).