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- W2135046543 abstract "In multidimensional case we give an extension of the Lindelöf–Gehring–Lohwater theorem involving two paths. A classical theorem of Lindelöf asserts that if f is a function analytic and bounded in the unit disc U which has the asymptotic value L at a point ξ∈∂U then it has the angular limit L at ξ. Later Lehto and Virtanen proved that a normal function f has at most one asymptotic value at any given point ξ∈∂U. Subsequently, the hypothesis of the existence of an asymptotic value has been weakend by Gehring and Lohwater. In this paper we extend their results to the higher dimensional case." @default.
- W2135046543 created "2016-06-24" @default.
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- W2135046543 date "2011-05-01" @default.
- W2135046543 modified "2023-09-24" @default.
- W2135046543 title "On the Lindelöf–Gehring–Lohwater theorem" @default.
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- W2135046543 doi "https://doi.org/10.1080/17476931003628240" @default.
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