Growth of frequently Birkhoff-universal functions of exponential type on rays

Details Growth of frequently Birkhoff-universal functions of exponential type on rays Growth of frequently Birkhoff-universal functions of exponential type on rays

2012-01-19

arxiv.org/abs/1201.4075v1

Mathematics

Complex Variables

Scientific paper

We consider growth conditions for (frequently) Birkhoff-universal functions
of exponential type with respect to the different rays emanating from the
origin. For that purpose, we investigate their (conjugate) indicator diagram
or, equivalently, their indicator function. Some known results, where growth is
measured with respect to the maximum modulus, are extended.

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