Modulo-loxodromic meromorphic functions in $\mathbb C\setminus\{0\}$

Authors

  • A.Ya. Khrystiyanyn
    Ivan Franko National University of Lviv, 1 Universytetska Str., 79000 Lviv, Ukraine
  • A.A. Kondratyuk
    Ivan Franko National University of Lviv, 1 Universytetska Str., 79000 Lviv, Ukraine

DOI:

https://doi.org/10.13108/2016-8-4-152

Keywords:

loxodromic meromorphic function, modulo-loxodromic function, Julia exceptional function.

Abstract

We introduce modulo-loxodromic functions and study their representations, zeroes and poles distribution. We also show that each modulo-loxodromic meromorphic function in $\mathbb C\setminus\{0\}$ is Julia exceptional.

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Published

20.12.2016

Issue

Vol. 8 No. 4 (2016): Ufa Mathematical Journal 2016, volume 8 , issue 4

Section

Article