Copyright © 2012 Daeyeoul Kim and Min-Soo Kim. 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.
Kim et al. (2012) introduced an interesting p-adic analogue of the
Eulerian polynomials. They studied some identities on the Eulerian polynomials in
connection with the Genocchi, Euler, and tangent numbers. In this paper, by
applying the symmetry of the fermionic p-adic q-integral on , defined by
Kim (2008), we show a
symmetric relation between the q-extension of the alternating sum of integer
powers and the Eulerian polynomials.