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Some Remarks on Angular Derivatives and Julia's Lemma

Published online by Cambridge University Press:  20 November 2018

H. L. Jackson
H. L. Jackson*
Affiliation:
McMaster University
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 2 , June 1966 , pp. 233 - 241
Copyright
Copyright © Canadian Mathematical Society 1966

References

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