2021-06-282021-06-282021-04Contreras Márquez, M.D., Díaz Madrigal, S. y Gumenyuk, P. (2021). Angular Extents and Trajectory Slopes in the Theory of Holomorphic Semigroups in the Unit Disk. Journal of Geometric Analysis, April1050-69261559-002Xhttps://hdl.handle.net/11441/114901We study relationships between the asymptotic behaviour of a non-elliptic semigroup of holomorphic self-maps of the unit disk and the geometry of its planar domain (the image of the Koenigs function). We establish a sufficient condition for the trajectories of the semigroup to converge to its Denjoy–Wolff point with a definite slope. We obtain as a corollary two previously known sufficient conditions.application/pdf31 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Semigroups of holomorphic functionsKoenigs functionPlanar domainSlope problemPrimary: 30D05Secondary: 30C3530C4534M15info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1007/s12220-021-00659-4