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On the Range of Universal Functions
Author(s) -
Costakis G.,
Melas A.
Publication year - 2000
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609300007268
Subject(s) - mathematics , range (aeronautics) , composite material , materials science
We examine the range of universal Taylor series. We prove that every universal Taylor series on the unit disc assumes every complex number, with one possible exception, infinitely often. On the other hand, we prove that on any simply connected domain there exist universal functions that omit one value. 2000 Mathematics Subject Classification 30B10.