On the Range of Universal Functions |
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| Authors: | Costakis, G. Melas, A. |
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| Affiliation: | Department of Mathematics, University of Athens Panepistimiopolis, Athens 157-84, Greece |
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| Abstract: | We examine the range of universal Taylor series. We prove thatevery universal Taylor series on the unit disc assumes everycomplex number, with one possible exception, infinitely often.On the other hand, we prove that on any simply connected domainthere exist universal functions that omit one value. 2000 MathematicsSubject Classification 30B10. |
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