Special functions related to Dedekind-type DC-sums and their applications
نویسندگان
چکیده
منابع مشابه
Special Functions Related to Dedekind Type Dc-sums and Their Applications
In this paper we construct trigonometric functions of the sum Tp(h, k), which is called Dedekind type DC-(Dahee and Changhee) sums. We establish analytic properties of this sum. We find trigonometric representations of this sum. We prove reciprocity theorem of this sums. Furthermore, we obtain relations between the Clausen functions, Polylogarithm function, Hurwitz zeta function, generalized La...
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In this paper we study the Euler polynomials and functions and derive some interesting formulae related to the Euler polynomials and functions. From those formulae we consider Dedekind type DC(Daehee-Changhee)sums and prove reciprocity laws related to DC sums.
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where ((x)) = x − [x]G − 1 2 , if x / ∈ Z, ((x)) = 0, x ∈ Z, where [x]G is the largest integer ≤ x cf. ([1], [5], [9], [11], [12], [13]). In this paper, Zp, Qp, Cp, C and Z, respectively, denote the ring of p-adic integers, the field of p-adic rational numbers, the p-adic completion of the algebraic closure of Qp normalized by |p|p = p −1, and the complex field and integer numbers. Let q be an ...
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ژورنال
عنوان ژورنال: Russian Journal of Mathematical Physics
سال: 2010
ISSN: 1061-9208,1555-6638
DOI: 10.1134/s1061920810040114