Some Properties for Multiple Twisted (p, q)-L-Function and Carlitz’s Type Higher-Order Twisted (p, q)-Euler Polynomials
نویسندگان
چکیده
منابع مشابه
On 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 کاملMultivariate Twisted p-Adic q-Integral on Zp Associated with Twisted q-Bernoulli Polynomials and Numbers
Let p be a fixed prime number. Throughout this paper, the symbols Z,Zp,Qp,C, and Cp will denote the ring of rational integers, the ring of p-adic integers, the field of p-adic rational numbers, the complex number field, and the completion of the algebraic closure of Qp, respectively. Let N be the set of natural numbers and Z N ∪ {0}. Let vp be the normalized exponential valuation of Cp with |p|...
متن کاملSymmetric Identities for Carlitz’s Type Twisted q-Genocchi Polynomials Using Twisted q-Genocchi Zeta Function
tributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract Our aim in this paper is to discover special symmetric properties for twisted q-Genocchi polynomials. We are going to find a symmetric identity for twisted q-Genocchi zeta function. From property of the twis...
متن کاملOn Multiple Twisted p-adic q-Euler -Functions and l-Functions
are known as the first kind Euler numbers cf. 1 . From the generating function of the first kind Euler numbers, we note that E0 1 and En − ∑n k 0 n k Ek for n ∈ N. The first few are 1,−1/2, 0, 1/4,−1/2, . . . and E2k 0 for k ∈ N. Those numbers play an important role in number theory. For example, the Euler zeta-function essentially equals an Euler numbers at nonpositive integer: ζE −m Em for m ...
متن کاملThe p-adic Generalized Twisted (h, q)-Euler-l-Function and Its Applications
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 ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2019
ISSN: 2227-7390
DOI: 10.3390/math7121205