Growth estimates for meromorphic solutions of higher order algebraic differential equations

DOI10.2748/TMJ.20191118zbMath1492.34088arXiv1906.05761OpenAlexW3114180846WikidataQ115227026 ScholiaQ115227026MaRDI QIDQ2234531

Shamil Makhmutov, Toni Vesikko, Jouni Rättyä

Publication date: 19 October 2021

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05761

zbMATH Keywords

spherical derivative

Mathematics Subject Classification ID

Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10) Nonlinear ordinary differential equations and systems in the complex domain (34M04)

Cites Work

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• A version of the Lohwater-Pommerenke theorem for strongly normal functions
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• α-normal functions and yosida functions
• Weighted Bergman spaces induced by rapidly incresing weights
• On non-normal solutions of linear differential equations
• Weighted Yosida functions
• The spherical derivative and normal functions

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