# Non-tangential limits of slowly growing analytic functions

Barth, Karl F. and Rippon, Philip J. (2008). Non-tangential limits of slowly growing analytic functions. Computational Methods and Function Theory, 8(1) pp. 85–99.

URL: http://www.heldermann.de/CMF/CMF08/CMF081/cmf08008... Look up in Google Scholar

## Abstract

We show that if is an analytic function in the unit disc, as , for every , and , where then has a finite non-tangential limit at . We also show that in this result it is not sufficient to assume that as , for some fixed .

Item Type: Journal Article 2008 Heldermann Verlag 1617-9447 non-tangential limit; Fatou point; slowly growing analytic function Mathematics, Computing and Technology > Mathematics and StatisticsMathematics, Computing and Technology 23857 Philip Rippon 11 Jan 2012 15:49 15 Feb 2016 14:09 http://oro.open.ac.uk/id/eprint/23857

### Actions (login may be required)

 RDF+XMLBibTeXRIOXX2 XMLRDF+N-TriplesJSONDublin CoreAtomOAI-ORE Resource Map (Atom Format)Simple MetadataReferMETSOAI-ORE Resource Map (RDF Format)HTML CitationASCII CitationMultiline CSVRefMan RIS Format (UTF-8)OpenURL ContextObjectEndNoteMODSOpenURL ContextObject in SpanMPEG-21 DIDLEP3 XMLRefMan RIS FormatRDF+N3Eprints Application Profile
© The Open University   + 44 (0)870 333 4340   general-enquiries@open.ac.uk