  In this paper, we derive eight basic identities of symmetry in three
variables related to generalized Euler polynomials and alternating generalized
power sums. All of these are new, since there have been results only about
identities of symmetry in two variables. The derivations of identities are
based on the $p$-adic fermionic integral expression of the generating function
for the generalized Euler polynomials and the quotient of integrals that can be
expressed as the exponential generating function for the alternating
generalized power sums.

Number Theory