Advances in Difference Equations
Volume 2009 (2009), Article ID 956910, 8 pages
doi:10.1155/2009/956910
A Note on the q-Euler Measures
Taekyun Kim1
, Kyung-Won Hwang2
and Byungje Lee3
1Division of General Education-Mathematics, Kwangwoon University, Seoul 139701, South Korea
2General Education Department, Kookmin University, Seoul 136702, South Korea
3Department of Wireless Communications Engineering, Kwangwoon University, Seoul 139701, South Korea
Abstract
Properties of q-extensions of Euler numbers and polynomials which generalize those satisfied by Ek and Ek(x) are used to construct q-extensions of p-adic Euler measures and define p-adic q-ℓ-series which interpolate q-Euler numbers at negative integers. Finally, we give Kummer Congruence for the q-extension of ordinary Euler numbers.