Some generalizations of p-loxodromic functions
Abstract
Розглянуто функцiональне рiвняння $f(qz) = p(z)f(z), z ∈ C\{0}, q ∈ C\{0}, |q| < 1$. При певних фiксованих елементарних функцiях p(z) знайдено його мероморфнi розв’язки. Цi розв’язки є деякими узагальненнями p-локсодромних функцiй i можуть зображатися за допомогою первинної функцiї Шотткi-Кляйна, як i класичнi p-локсодромнi функцiї.
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