Some identities of degenerate Euler polynomials arising from p-adic fermionic integrals on ℤp

Abstract

L. Carlitz introduced higher order degenerate Euler polynomials (see [Carlitz L. Degenerate Stirling, Bernoulli and Eulerian numbers. Utilitas Math. 1979;15:51–88; Carlitz L. A degenerate Staudt-Clausen theorem. Arch Math (Basel). 1956;7:28–33]). In this paper, we give some formulae and identities of degenerate Euler polynomials which are derived from the fermionic p-adic integrals on ℤp.