A class of Julia exceptional functions

Authors

  • V.S. Khoroshchak Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
  • A.Ya. Khrystiyanyn Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
  • D.V. Lukivska Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
https://doi.org/10.15330/cmp.8.1.172-180

Keywords:

p-loxodromic function, the Schottky-Klein prime function, Julia exceptionality
Published online: 2016-06-30

Abstract

The class of p-loxodromic functions (meromorphic functions, satisfying the condition f(qz)=pf(z) for some q∈C∖{0} and all z∈C∖{0}) is studied. Each p-loxodromic function is Julia exceptional. The representation of these functions as well as their zero and pole distribution are investigated.

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How to Cite
(1)
Khoroshchak, V.; Khrystiyanyn, A.; Lukivska, D. A Class of Julia Exceptional Functions. Carpathian Math. Publ. 2016, 8, 172-180.

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