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On bounded universal Functions (BibTeX)

  author      = {A.~Vogt},
  title       = {{On bounded universal Functions}},
  journal     = {Computational Methods and Function Theory},
  year        = 2012,
  pages       = {213-219},
  volume      = 12,
  number      = 1,
  abstract    = {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.}