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Research Article | Open Access

Infinite growth of solutions of second order complex differential equations with meromorphic coefficients

Zheng Wang, Zhi Gang Huang( )
School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou 215009, China
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Abstract

This paper is devoted to studying the growth of solutions of f ″ + A ( z ) f ′ + B ( z ) f = 0, where A ( z ) and B ( z ) are meromorphic functions. With some additional conditions, we show that every non-trivial solution f of the above equation has infinite order. In addition, we also obtain the lower bound of measure of the angular domain, in which the radial order of f is infinite.

Keywords

meromorphic functioninfinite growthcomplex differential equationradial order
CLC number: 30D35, 34M10, 37F10

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 6807-6819
DOI: 10.3934/math.2022379

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Cite this article:
Wang Z, Huang ZG. Infinite growth of solutions of second order complex differential equations with meromorphic coefficients. AIMS Mathematics, 2022, 7(4): 6807-6819. https://doi.org/10.3934/math.2022379

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Received: 25 December 2021
Revised: 18 January 2022
Accepted: 19 January 2022
Published: 15 April 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)