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- W3186705983 abstract "Abstract Dedekind type DC sums and their generalizations are defined in terms of Euler functions and their generalization. Recently, Ma et al. (Adv. Differ. Equ. 2021:30 2021) introduced the poly-Dedekind type DC sums by replacing the Euler function appearing in Dedekind sums, and they were shown to satisfy a reciprocity relation. In this paper, we consider two kinds of new generalizations of the poly-Dedekind type DC sums. One is a unipoly-Dedekind type DC sum associated with the type 2 unipoly-Euler functions expressed in the type 2 unipoly-Euler polynomials using the modified polyexponential function, and we study some identities and the reciprocity relation for these unipoly-Dedekind type DC sums. The other is a unipoly-Dedekind sums type DC associated with the poly-Euler functions expressed in the unipoly-Euler polynomials using the polylogarithm function, and we derive some identities and the reciprocity relation for those unipoly-Dedekind type DC sums." @default.
- W3186705983 created "2021-08-02" @default.
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- W3186705983 date "2021-07-17" @default.
- W3186705983 modified "2023-09-27" @default.
- W3186705983 title "Some identities and reciprocity relationsof unipoly-Dedekind type DC sums" @default.
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- W3186705983 doi "https://doi.org/10.1186/s13660-021-02655-2" @default.
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