Annales Academię Scientiarum Fennicę
Mathematica
Volumen 34, 2009, 173-177

A CONTINUOUS FUNCTION THAT NO MEROMORPHIC FUNCTION CAN AVOID

Peter Lappan

Michigan State University, Department of Mathematics
East Lansing, Michigan 48824, U.S.A.; plappan 'at' math.msu.edu

Abstract. We give an example of a function G with the property described in the title. We had previously given an example of a continuous function \Phi that no holomorphic function can avoid. The function G is a modification of the function \Phi, but the proof to show that a meromorphic function cannot avoid G involves a modification of the argument principle.

2000 Mathematics Subject Classification: Primary 30D30.

Key words:

Reference to this article: P. Lappan: A continuous function that no meromorphic function can avoid. Ann. Acad. Sci. Fenn. Math. 34 (2009), 173-177.

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