%0 Journal Article %T On the Symmetric Properties of Higher-Order Twisted -Euler Numbers and Polynomials %A Moon Eun-Jung %A Rim Seog-Hoon %A Jin Jeong-Hee %A Lee Sun-Jung %J Advances in Difference Equations %D 2010 %I Springer %X In 2009, Kim et al. gave some identities of symmetry for the twisted Euler polynomials of higher-order, recently. In this paper, we extend our result to the higher-order twisted -Euler numbers and polynomials. The purpose of this paper is to establish various identities concerning higher-order twisted -Euler numbers and polynomials by the properties of -adic invariant integral on . Especially, if , we derive the result of Kim et al. (2009). %U http://www.advancesindifferenceequations.com/content/2010/765259