Asymptotic Values of Entire Functions of Infinite Order

Aimo Hinkkanen, Joseph Miles

Research output: Contribution to journalArticlepeer-review


We prove that there exists an entire function for which every complex number is an asymptotic value and whose growth is arbitrarily slow subject only to the necessary condition that the function is of infinite order.

Original languageEnglish (US)
Pages (from-to)381-392
Number of pages12
JournalComputational Methods and Function Theory
Issue number2
StatePublished - Jun 2023


  • Asymptotic value
  • Entire function

ASJC Scopus subject areas

  • Analysis
  • Computational Theory and Mathematics
  • Applied Mathematics


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