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

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 ℤ_p.

Keywords:

• degenerate Euler polynomial
• fermionic p-adic integral

AMS Subject Classifications:

• 11B68
• 11B75
• 11B83
• 33E30
• 33F99