A class of Julia exceptional functions
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 $q \in \mathbb{C}\backslash \{0\}$ and all $z \in \mathbb{C}\backslash \{0\}$) is studied. Each $p$-loxodromic function is Julia exceptional. The representation of these functions as well as their zero and pole distribution are investigated.
How to Cite
(1)
Khoroshchak, V.; Khrystiyanyn, A.; Lukivska, D. A Class of Julia Exceptional Functions. Carpathian Math. Publ. 2016, 8, 172-180.