Special Functions Related to Dedekind Type DC-Sums and their Applications - Mathematics > Complex VariablesReport as inadecuate




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Abstract: In this paper we construct trigonometric functions of the sum T {p}h,k,which is called Dedekind type DC-Dahee and Changhee sums. We establishanalytic properties of this sum. We find trigonometric representations of thissum. We prove reciprocity theorem of this sums. Furthermore, we obtainrelations between the Clausen functions, Polylogarithm function, Hurwitz zetafunction, generalized Lambert series G-series, Hardy-Berndt sums and the sumT {p}h,k. We also give some applications related to these sums and functions.



Author: Yilmaz Simsek

Source: https://arxiv.org/







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