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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Hai-Ying Chen & Xiu-Min Zheng, 2019. "Value Distribution and Arbitrary-Order Derivatives of Meromorphic Solutions of Complex Linear Differential Equations in the Unit Disc," Mathematics, MDPI, vol. 7(4), pages 1-14, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:352-:d:223014
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