q-Euler numbers and polynomials associated with p-adic q-integrals
نویسندگان
چکیده
منابع مشابه
q-EULER NUMBERS AND POLYNOMIALS ASSOCIATED WITH p-ADIC q-INTEGRALS AND BASIC q-ZETA FUNCTION
The purpose of this paper is to introduce the some interesting properties of q-Euler numbers and polynomials, cf. [1, 2, 5]. Finally, we will consider the “ sums of products of q-Euler polynomials”.
متن کاملNEW q-EULER NUMBERS AND POLYNOMIALS ASSOCIATED WITH p-ADIC q-INTEGRALS
The purpose of this paper is to construct new q-Euler numbers and polynomials. Finally we will consider the Witt's type formula associated with these q-Euler numbers and polynomials, and construct q-partial zeta functions and p-adic q-l-functions which interpolate new q-Euler numbers and polynomials at negative integers.
متن کاملNew Changhee q-Euler numbers and polynomials associated with p-adic q-integrals
Using non-archimedean q-integrals on Zp defined in [15, 16], we define a new Changhee q-Euler polynomials and numbers which are different from those of Kim [7] and Carlitz [2]. We define generating functions of multiple q-Euler numbers and polynomials. Furthermore we construct multivariate Hurwitz type zeta function which interpolates the multivariate q-Euler numbers or polynomials at negative ...
متن کاملTHE FERMIONIC p-ADIC INTEGRALS ON Zp ASSOCIATED WITH EXTENDED q-EULER NUMBERS AND POLYNOMIALS
Let p be a fixed odd prime number. 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. Let vp be the normalized exponential valuation of Cp with |p|p = p −vp(p) = 1 p . When one talks of q-extension, q is variously considered as and in...
متن کاملGeneralized (q,w)-Euler Numbers and Polynomials Associated with p-Adic q-Integral on ℤp
Recently, many mathematicians have studied in the area of the Euler numbers and polynomials see 1–15 . The Euler numbers and polynomials possess many interesting properties and arising in many areas of mathematics and physics. In 14 , we introduced that Euler equation En x 0 has symmetrical roots for x 1/2 see 14 . It is the aim of this paper to observe an interesting phenomenon of “scattering”...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2007
ISSN: 1776-0852
DOI: 10.2991/jnmp.2007.14.1.3