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A NOTE ON THE q-ANALOGUES OF EULER NUMBERS AND POLYNOMIALS

A NOTE ON THE q-ANALOGUES OF EULER NUMBERS AND POLYNOMIALS

In this paper, we consider the q-analogues of Euler numbers and polynomials using the fermionic p-adic invariant integral on <TEX>$\mathbb{Z}_p$</TEX>. From these numbers and polynomials, we derive some interesting identities and properties on the q-analogues of Euler numbers and polynomials.