Alkan A.Önder M.2025-04-102025-04-102023http://hdl.handle.net/20.500.14701/44433A new kind of partner curves called osculating mate of a Frenet curve is introduced. Some characterizations for osculating mate are obtained and using the obtained results some special curves such as slant helix, spherical helix, C-slant helix and rectifying curve are constructed. © 2023, University of Tartu Press. All rights reserved.Osculating mate of a Frenet curve in the Euclidean 3-spaceArticle10.12697/ACUTM.2023.27.13