Abstract

The purpose of this paper is to construct λ-Euler numbers and polynomials by using fermionic expression of p-adic q-integral at q = − 1 . From these λ-Euler polynomials, we derive the harmonic sums of higher order. Finally, we investigate several interesting properties and relationships involving the classical as well as the generalized Euler numbers and polynomials. As an application, we will treat p-adic invariant integrals on Z p involving trigonometric functions.

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