A note on symmetric properties of the multiple q-Euler zeta functions and higher-order q-Euler polynomials
نویسندگان
چکیده
منابع مشابه
q-EULER NUMBERS AND POLYNOMIALS ASSOCIATED WITH BASIC ZETA FUNCTIONS
Throughout this paper Zp, Qp, C and Cp will respectively denote the ring of p-adic rational integers, the field of p-adic rational numbers, the complex number field and the completion of algebraic closure of Qp. The p-adic absolute value in Cp is normalized so that |p|p = 1 p . When one talks of q-extension, q is variously considered as an indeterminate, a complex number q ∈ C or a p-adic numbe...
متن کاملSymmetric Identities of the q-Euler Polynomials
an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, we study some symmetric identities of q-Euler numbers and polynomials. From these properties, we derive several identities of q-Euler numbers and polynomials.
متن کاملq-ANALOGUE OF EULER-BARNES MULTIPLE ZETA FUNCTIONS
Recently (see [1]) I has introduced an interesting the Euler-Barnes multiple zeta function. In this paper we construct the q-analogue of Euler-Barnes multiple zeta function which interpolates the q-analogue of Frobenius-Euler numbers of higher order at negative integers. §
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 کاملNOTE ON THE GENERALIZATION OF THE HIGHER ORDER q-GENOCCHI NUMBERS AND q-EULER NUMBERS
Cangul-Ozden-Simsek[1] constructed the q-Genocchi numbers of high order using a fermionic p-adic integral on Zp, and gave Witt’s formula and the interpolation functions of these numbers. In this paper, we present the generalization of the higher order q-Euler numbers and q-Genocchi numbers of Cangul-Ozden-Simsek. We define q-extensions of w-Euler numbers and polynomials, and w-Genocchi numbers ...
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ژورنال
عنوان ژورنال: Applied Mathematical Sciences
سال: 2014
ISSN: 1314-7552
DOI: 10.12988/ams.2014.42117