Peter Dovbush
Moldova State University, Vladimir Andrunachievici Institute of Mathematics and Computer Science, Chisinau, Moldova Republic of

This talk surveys various generalizations and strengthenings of the classical theorems of Marty, Zalcman, Zalcman-Pang, Montel, Schottky, Schwick, Royden, Mandelbrojt, Lohwater-Pommerenke, Lehto-Virtanen and Lindelöf with an emphasis on some surprising recent developments which are contained in my papers:

• Complex Var. Elliptic Equ., 65.5 (2020), 66.12 (2021), 67.1 (2022),
• J. Geom. Anal. 31.5 (2021),
• Rev. Roumaine Math. Pures Appl. 67 (2022), no. 1-2,
• Vestnik Moskov. Univ. Ser. I Mat. Mekh. 6 (1981),
• Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1 (1981).