International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 210768, 18 pages
Research Article

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

Department of Mathematics, Hannam University, Daejeon 306-791, Republic of Korea

Received 18 June 2012; Accepted 3 August 2012

Academic Editor: Taekyun Kim

Copyright © 2012 C. S. Ryoo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper we construct the new analogues of Genocchi the numbers and polynomials. We also observe the behavior of complex roots of the -Genocchi polynomials , using numerical investigation. By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the -Genocchi polynomials . Finally, we give a table for the solutions of the -Genocchi polynomials .