Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc.

Online first article March 18, 2024

Copyright © The Korean Mathematical Society.

On the growth of algebroid solutions of algebraic differential equations

Manli Liu and Linlin Wu

South China Agricultural University, Qilu Normal University

Abstract

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Using the Nevanlinna value distribution theory of algebroid functions, this paper investigates the growth of two types of complex algebraic differential equation with admissible algebroid solutions and obtains two results, which extends the growth of complex algebraic differential equation with meromorphic solutions obtained by Gao [Acta Math. Sci., 2002,22B(4),149-156].

Keywords: Meromorphic solution, Complex differential equation, Value distribution, Algebroid solution

MSC numbers: 30D35, 30D30

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