Value Distribution and Arbitrary-Order Derivatives of Meromorphic Solutions of Complex Linear Differential Equations in the Unit Disc

Hai-Ying Chen and Xiu-Min Zheng
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Hai-Ying Chen: Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, Jiangxi, China
Xiu-Min Zheng: Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, Jiangxi, China

Mathematics, 2019, vol. 7, issue 4, 1-14

Abstract: In this paper, we investigate the value distribution of meromorphic solutions and their arbitrary-order derivatives of the complex linear differential equation f ′ ′ + A ( z ) f ′ + B ( z ) f = F ( z ) in Δ with analytic or meromorphic coefficients of finite iterated p -order, and obtain some results on the estimates of the iterated exponent of convergence of meromorphic solutions and their arbitrary-order derivatives taking small function values.

Keywords: complex linear differential equation; unit disc; meromorphic solution; arbitrary-order derivative; small function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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