On p-adic interpolating function for q-Euler numbers and its derivatives
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”.
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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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Abstract. We show that q-Euler numbers can be represented as an integral by the q-analogue of the ordinary p-adic fermionic measure, whence we give an answer to the question of readers to ask us for the fermionic p-adic q-integral on Zp. Sometimes several readers give the nonsense comments to us. But we do not write their names in this paper. I would like to tell the readers that papers are dif...
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 ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2008
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.07.027