English

The size of Wiman-Valiron disks

Complex Variables 2011-03-07 v1

Abstract

Wiman-Valiron theory and results of Macintyre about "flat regions" describe the asymptotic behavior of entire functions in certain disks around points of maximum modulus. We estimate the size of these disks for Macintyre's theory from above and below.

Keywords

Cite

@article{arxiv.0901.2690,
  title  = {The size of Wiman-Valiron disks},
  author = {Walter Bergweiler},
  journal= {arXiv preprint arXiv:0901.2690},
  year   = {2011}
}

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20 pages