Academic Editor: Patricia J. Y. Wong
Copyright © 2009 Taekyun Kim et al. 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.
Properties of -extensions
of Euler numbers and polynomials which generalize those satisfied by
and are used to construct -extensions of
-adic Euler measures and define -adic --series which
interpolate -Euler numbers at negative integers. Finally, we give
Kummer Congruence for the -extension of ordinary Euler numbers.