Über Picardmengen ganzer Funktionen |
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Authors: | Jörg Winkler |
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Institution: | (1) Mathematisches Institut, Stra\e des 17. Juni 135, 1 Berlin 12 |
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Abstract: | Following Lehto we call a set E in the complex plane a Picard set for integral functions, if every non-rational integral function omits at most one finite value in the complement (with respect to the plane) of E. The existence of non-trivial Picard sets was proved by Lehto 3]. The aim of this paper is to give a new criterion for denumberable point sets E to be Picard sets for integral functions. In some way the criterion given by theorem 1 is an extension of the result on Picard sets for integral functions given by Toppila 5] and improves the criterion given by the author in 6]. |
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