Some holomorphic generalizations of loxodromic functions

• Datum: 2017
• Hauptverfasser: Lukivska, Dz. V., Луківська, Дз. В.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1781
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The functional equation of the form $f(qz) = p(z)f(z), z \in C\setminus \{ 0\} , q \in C\setminus \{ 0\} , | q| < 1$ is considered. For certain fixed elementary functions $p(z)$, holomorphic solutions of this equation are found. These solutions are some generalizations of loxodromic functi...