The p-adic Generalized Twisted (h, q)-Euler-l-Function and Its Applications
نویسنده
چکیده
Abstract : The main purpose of this paper is to construct the p-adic twisted (h, q)-Euler-lfunction, which interpolates generalized twisted (h, q)-Euler numbers associated with a primitive Dirichlet character χ. This is a partial answer for the open question which was remained in [13]. An application of this function leads general congruences systems for generalized twisted (h, q)Euler numbers associated with χ, in particular, Kummer-type congruences for these numbers are obtained.
منابع مشابه
On Interpolation Functions of the Generalized Twisted (h,q)-Euler Polynomials
The aim of this paper is to construct p-adic twisted two-variable Eulerh,q -L-functions, which interpolate generalized twisted h,q -Euler polynomials at negative integers. In this paper, 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...
متن کاملON A q-ANALOGUE OF THE p-ADIC GENERALIZED TWISTED L-FUNCTIONS AND p-ADIC q-INTEGRALS
The purpose of this paper is to define generalized twisted q-Bernoulli numbers by using padic q-integrals. Furthermore, we construct a q-analogue of the p-adic generalized twisted L-functions which interpolate generalized twisted q-Bernoulli numbers. This is the generalization of Kim’s h-extension of p-adic q-L-function which was constructed in [5] and is a partial answer for the open question ...
متن کاملOn p-adic Twisted Euler (h, q)-l-Functions
In the recent paper, Kim-Rim have studied interesting twisted q-Euler numbers and polynomials. In [8], Kim-Rim suggested the question to find a q-analogue of the p-adic twisted (h, q)-l-function which interpolates generalized twisted (h, q)-Euler numbers attached to χ. This question is remained open. The purpose of this paper is to give the answer of the question.
متن کاملOn the p-Adic Interpolation Functions of the Generalized Twisted (h, q)-Euler Numbers
Recently, Cangul et al. [I.N. Cangul, H. Ozden and Y. Simsek, Generating functions of the (h, q) extension of twisted Euler polynomials and numbers, Acta Math. Hungar. 120(3) (2008), 281-299] constructed new generating functions of the twisted (h, q)-Euler numbers and polynomials attached to a Dirichlet character χ. They also constructed the partially twisted (h, q)-zeta function. They suggeste...
متن کاملNote on q-Extensions of Euler Numbers and Polynomials of Higher Order
In [14] Ozden-Simsek-Cangul constructed generating functions of higher-order twisted (h, q)-extension of Euler polynomials and numbers, by using p-adic q-deformed fermionic integral on Zp. By applying their generating functions, they derived the complete sums of products of the twisted (h, q)-extension of Euler polynomials and numbers, see[13, 14]. In this paper we cosider the new q-extension o...
متن کامل