Some Remarks on Angular Derivatives and Julia's Lemma
- 1 January 1966
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 9 (2) , 233-241
- https://doi.org/10.4153/cmb-1966-032-3
Abstract
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.Keywords
This publication has 2 references indexed in Scilit:
- Limites angulaires et limites finesAnnales de l'institut Fourier, 1963
- Vorlesungen über FunktionentheoriePublished by Springer Nature ,1961