A note on q-Euler numbers and polynomials

Abstract

The purpose of this paper is to construct q-Euler numbers and polynomials by using p-adic q-integral equations on Zp. Finally, we will give some interesting formulae related to these q-Euler numbers and polynomials.

6 pages

References in corpus (3)

• $q$-Bernoulli Numbers and Polynomials Associated with Multiple $q$-Zeta Functions and Basic $L$-series
• A note on q-Euler numbers and polynomials
• A Note on p-Adic Invariant Integral in the Rings of p-Adic Integers

Cited by in corpus (7)

• A note on q-Euler numbers and polynomials
• Note on the Euler Numbers and Polynomials
• Note on on Dedekind type DC sums
• A note on the generalized q-Euler numbers(2)
• Note on the generalization of the higher order q-Genocchi numbers and q-Euler numbers
• Note on q-extensions of Euler numbers and polynomials of higher order
• q-Euler Numbers and Polynomials Associated with Basic Zeta Functions