A NEW PROOF OF THE SYMMETRIC PROPERTIES FOR THE TWISTED GENERALIZED EULER POLYNOMIALS OF HIGHER ORDER
In the previous paper ([2]), Kim-Lee-Kim have derived the symmetric identities for the twisted generalized Euler polynomials of higher order attached to chi from the properties of the multivariate p-adic invariant integral on Z(p). The purpose of this paper is to give a slightly different proof for the symmetric identities of the twisted generalized Euler polynomials of order r in the complex number field.
euler numbers and polynomials twisted euler numbers and polynomials symmetry