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• W3100094226 abstract "In this paper, we construct trigonometric functions in the form of a sum T p (h, k) which is referred to as a Dedekind-type DC-(Dahee and Changhee) sum. We establish analytic properties of this sum, find its trigonometric representations, and prove a reciprocity theorem for these sums. Furthermore, we obtain relationships between the Clausen functions, polylogarithm function, Hurwitz zeta function, generalized Lambert series (G-series), Hardy-Berndt sums, and the sum T p (h, k). We also give some applications related to these sums and functions." @default.
• W3100094226 created "2020-11-23" @default.
• W3100094226 creator A5014126422 @default.
• W3100094226 date "2010-12-01" @default.
• W3100094226 modified "2023-09-24" @default.
• W3100094226 title "Special functions related to Dedekind-type DC-sums and their applications" @default.
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• W3100094226 doi "https://doi.org/10.1134/s1061920810040114" @default.
• W3100094226 hasPublicationYear "2010" @default.
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