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 (4)

• $q$-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
• On a q-analogue of the multiple gamma functions

Cited by in corpus (23)

• A note on q-Euler numbers and polynomials
• Note on the Euler Numbers and Polynomials
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• Note on on Dedekind type DC sums
• More Properties on Multi Poly-Euler Polynomials
• A note on the generalized q-Euler numbers(2)
• On a class of $q$-Bernoulli, $q$-Euler and $q$-Genocchi polynomials
• A note on the (h,q)-Zeta type function with weight alpha
• On Multi Poly-Bernoulli Polynomials
• On the Dirichlet's type of Eulerian polynomials
• A $q$-Umbral Approach to $q$-Appell Polynomials
• A new class of generalized Bernoulli polynomials and Euler polynomials
• Note on the generalization of the higher order q-Genocchi numbers and q-Euler numbers
• On Generalized Multi Poly-Euler and Multi Poly-Bernoulli Polynomials
• Identities involving Frobenius-Euler polynomials arising from non-linear differential equations
• q-Bernoulli polynomials and q-umbral calculus
• A note on the new q-extension of Frobenius-Euler numbers and polynomials
• A new family of q-analogue of Genocchi numbers and polynomials of higher order
• Hermite polynomials related to Genocchi, Euler and Bernstein polynomials
• A new class of generalized Genocchi polynomials
• Note on q-extensions of Euler numbers and polynomials of higher order
• q-Euler Numbers and Polynomials Associated with Basic Zeta Functions
• Some identities of q-Euler polynomials arising from q-umbral calculus