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Tangential Limits for Certain Classes of Analytic Functions

Published online by Cambridge University Press:  26 February 2010

J. B. Twomey
J. B. Twomey
Affiliation:
Department of Mathematics, University College, Cork, Ireland.
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Extract

We begin by denning the notion of a tangential limit for a function f denned in the unit disc

Let be a positive continuous function on (0, 1) for which

Suppose B>0, -, and define

where The region . makes tangential contact with the boundary U of the unit disc at ei; when (r) = ( l - r2), for instance, (, , 1) is the disc with radius and centre ei

Type
Research Article
Information
Mathematika , Volume 36 , Issue 1 , June 1989 , pp. 39 - 49
Copyright
Copyright University College London 1989

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