A class of Julia exceptional functions
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...
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2016-06-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/1423 |
| _version_ | 1819023480850481152 |
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| author | V.S. Khoroshchak A.Ya. Khrystiyanyn D.V. Lukivska |
| author_facet | V.S. Khoroshchak A.Ya. Khrystiyanyn D.V. Lukivska |
| author_sort | V.S. Khoroshchak |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-21T04:39:34Z |
| format | Article |
| id | doaj.art-a5afb85d531e4b67a5fbc9dfd1063987 |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-12-21T04:39:34Z |
| publishDate | 2016-06-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-a5afb85d531e4b67a5fbc9dfd10639872022-12-21T19:15:46ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102016-06-018117218010.15330/cmp.8.1.172-1801423A class of Julia exceptional functionsV.S. Khoroshchak0A.Ya. Khrystiyanyn1D.V. Lukivska2Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, UkraineIvan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, UkraineIvan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, UkraineThe 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.https://journals.pnu.edu.ua/index.php/cmp/article/view/1423$p$-loxodromic functionthe schottky-klein prime functionjulia exceptionality |
| spellingShingle | V.S. Khoroshchak A.Ya. Khrystiyanyn D.V. Lukivska A class of Julia exceptional functions Karpatsʹkì Matematičnì Publìkacìï $p$-loxodromic function the schottky-klein prime function julia exceptionality |
| title | A class of Julia exceptional functions |
| title_full | A class of Julia exceptional functions |
| title_fullStr | A class of Julia exceptional functions |
| title_full_unstemmed | A class of Julia exceptional functions |
| title_short | A class of Julia exceptional functions |
| title_sort | class of julia exceptional functions |
| topic | $p$-loxodromic function the schottky-klein prime function julia exceptionality |
| url | https://journals.pnu.edu.ua/index.php/cmp/article/view/1423 |
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