Abstract
The aim of this paper is to construct -adic twisted two-variable Euler-( , )- -functions, which interpolate generalized twisted ( , )-Euler polynomials at negative integers. In this paper, we treat twisted ( , )-Euler numbers and polynomials associated with -adic invariant integral on . We will construct two-variable twisted ( , )-Euler-zeta function and two-variable ( , )- -function in Complex -plane.
Highlights
Tsumura and Young treated the interpolation functions of the Bernoulli and Euler polynomials in 1, 2
Kim and Simsek studied on p-adic interpolation functions of these numbers and polynomials 3–48
After that, twisted h, q -Bernoulli and Euler numbers polynomials were studied by several authors 1–32, 32–65
Summary
The aim of this paper is to construct p-adic twisted two-variable Euler- h,q -L-functions, which interpolate generalized twisted h,q -Euler polynomials at negative integers. We treat twisted h,q -Euler numbers and polynomials associated with p-adic invariant integral on Zp. We will construct two-variable twisted h,q -Euler-zeta function and two-variable h,q -L-function in Complex s-plane.
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