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Unbounded analytic functions on plane domains
Author(s) -
Hinchliffe J. D.
Publication year - 2003
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s002557930001490x
Subject(s) - mathematics , plane (geometry) , analytic function , mathematical analysis , pure mathematics , geometry
A function is called strongly unbounded on a domain D if there exists a sequence in D on which f and all its derivatives tend to infinity. A result of Gordon is generalized to show that an unbounded analytic function on a quasidisk is always strongly unbounded there.