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

Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, Jiangxi, China
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Mathematics 2019, 7(4), 352; https://doi.org/10.3390/math7040352
Received: 14 February 2019 / Revised: 3 April 2019 / Accepted: 5 April 2019 / Published: 15 April 2019
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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. View Full-Text
Keywords: complex linear differential equation; unit disc; meromorphic solution; arbitrary-order derivative; small function complex linear differential equation; unit disc; meromorphic solution; arbitrary-order derivative; small function
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Chen, H.-Y.; Zheng, X.-M. Value Distribution and Arbitrary-Order Derivatives of Meromorphic Solutions of Complex Linear Differential Equations in the Unit Disc. Mathematics 2019, 7, 352.

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