Identities of symmetry for euler polynomials and alternating power sums

Abstract

It was a breakthrough of T. Kim that he introduced the p-adic Volkenborn integrals to the study of identities of symmetry in two variables for Bernoulli polynomials and power sums, which had been investigated by considering suitable symmetric identities. Very recently, this result was generalized to the case of arbitrary number of variables by using the p-adic Volkenborn integrals. The aim of this paper is to derive identities of symmetry in arbitrary number of variables for Euler polynomials and alternating power sums by using fermionic p-adic integrals and to illustrate the results with some examples, which is again initiated by T. Kim in the case of two variables. ? 2021 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.