Computational Methods and Function Theory 12 (2012), No. 1, 213--219
Copyright Heldermann Verlag 2012
On Bounded Universal Functions
email@example.com , University of Trier, Department of Computer Science and Mathematics, 54296 Trier, Germany.
We investigate boundedness properties of functions that are universal with respect to translations and ``multiplicative translations''. It is well known that there exist entire functions which are universal in the sense of Birkhoff and are bounded on every line. We prove a negative result for multiplicative universal functions.
Keywords: Universal functions, boundedness on every line.
MSC 2000: 30E10, 30K15.
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