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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Literatur
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Winkler, J. Über Picardmengen ganzer Funktionen. Manuscripta Math 1, 191–199 (1969). https://doi.org/10.1007/BF01173101
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DOI: https://doi.org/10.1007/BF01173101