On New and Earlier Developments in Petrenko’s Theory of Growth of Meromorphic Functions
Анотація
Теорія Петренка зростання мероморфних функцій належить до ширшого спектра теорії Неванлінни і була започаткована В.П. Петренком у 1960-х роках. Ця стаття присвячена досягненням видатного учня В.П. Петренка, І.І. Марченка, та його внеску в теорію. Огляд деяких основних результатів І.І. Марченка (та їх подальших узагальнень і застосувань), що стосуються відхилень, відокремлених точок максимуму модуля та сильних асимптотичних значень, становить основну частину статті. Заключна частина статті присвячена узагальненню раннього результату І.І. Марченка та А.І. Щерби щодо суми відхилень голоморфних функцій в одиничному крузі.
Mathematical Subject Classification 2020: 30D35, 30D30
Ключові слова:
мероморфна функція, голоморфна функція, відхилення, точка максимуму, асимптотичне значенняПосилання
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