A class of Julia exceptional functions

Author:

Khoroshchak V.S.,Khrystiyanyn A.Ya.,Lukivska D.V.

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.

Publisher

Vasyl Stefanyk Precarpathian National University

Subject

General Mathematics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On Rationally Loxodromic Holomorphic Functions;Ukrainian Mathematical Journal;2018-04

2. Some Holomorphic Generalizations of Loxodromic Functions;Ukrainian Mathematical Journal;2018-02

3. Quasi-elliptic functions;Ufimskii Matematicheskii Zhurnal;2017

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