Some Remarks on Angular Derivatives and Julia's Lemma
Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 233-241
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Let w = f(z) be holomorphic on the unit disk D = { z: | z | < 1}, with the additional restrictions that | f ( z ) | < l and , where denotes the (outer) angular limit of f (z) at z = 1. Let us now define and then focus our attention on the behaviour of g(z) in an arbitrary angular neighbourhood of z = 1. Whenever exists, this limit is commonly referred to as the angular derivative of f(z) at z = 1.
Jackson, H. L. Some Remarks on Angular Derivatives and Julia's Lemma. Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 233-241. doi: 10.4153/CMB-1966-032-3
@article{10_4153_CMB_1966_032_3,
author = {Jackson, H. L.},
title = {Some {Remarks} on {Angular} {Derivatives} and {Julia's} {Lemma}},
journal = {Canadian mathematical bulletin},
pages = {233--241},
year = {1966},
volume = {9},
number = {2},
doi = {10.4153/CMB-1966-032-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-032-3/}
}
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