A note on the q-extension of second kind Euler numbers and polynomials
In this paper, by using the p-adic integral on Z(p), we construct a new type of the q-extension of the second kind Euler numbers E-n,E-q and polynomials E-n,E-q(x). From these numbers and polynomials, we establish some interesting identities and relations. By using the q-extension of the second kind Euler numbers E-n,E-q and polynomials E-n,E-q(x), the q-Euler zeta function and Hurwitz-type q-Euler zeta functions are defined.
the second kind euler numbers and polynomials the q-extension of the second kind euler numbers and polynomials