Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials
نویسندگان
چکیده
The main purpose of this paper is to present new q-extensions of Apostol’s type Euler polynomials using the fermionic p-adic integral on Zp. We define the q-λ-Euler polynomials and obtain the interpolation functions and the Hurwitz type zeta functions of these polynomials. We define qextensions of Apostol type’s Euler polynomials of higher order using the multivariate fermionic p-adic integral on Zp. We have the interpolation functions of these q-λ-Euler polynomials. We also give h, q -extensions of Apostol’s type Euler polynomials of higher order and have the multiple Hurwitz type zeta functions of these h, q -λ-Euler polynomials.
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