Meromorphic Functions Sharing Three Values with Their Linear Differential Polynomials in an Angular Domain
- Authors: Chen J.1
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Affiliations:
- Fujian Normal University
- Issue: Vol 54, No 3 (2019)
- Pages: 157-162
- Section: Real and Complex Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228328
- DOI: https://doi.org/10.3103/S106836231903004X
- ID: 228328
Cite item
Abstract
Let f be a nonconstant meromorphic function of lower order µ (f) > 1/2 in ℂ, and let aj (j = 1, 2, 3) be three distinct finite complex numbers. We show that there exists an angular domain D = {z: α ≤ arg z ≤ β}, where 0 < β − α ≤ 2π, such that if f share aj (j = 1, 2, 3) CM with its k-th linear differential polynomial L[f] in D, then f = L[f]. This generalizes the corresponding results from Frank and Schwick, Zheng and Li-Liu-Yi.
About the authors
J.-F. Chen
Fujian Normal University
Author for correspondence.
Email: junfanchen@163.com
China, Fuzhou