Normal families of meromorphic functions concerning higher derivative and shared values
type: Item
instance of: scholarly article
title: Normal families of meromorphic functions concerning higher derivative and shared values
zbMATH Open document ID: 1292.30018
DOI: 10.1155/2013/368321
author: Wei Chen
author: Wenjun Yuan
author: Honggen Tian
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We study normal families related to a conjecture of Hayman concerning shared values and get two normality criteria. Our results improve related theorems obtained independently by \textit{M.-L. Fang} and \textit{W.-J. Yuan} [Indian J. Math. 43, No. 3, 341--351 (2001; Zbl 1040.30015)], \textit{W.-J. Yuan} et al. [Discrete Dyn. Nat. Soc. 2011, Article ID 463287, 10 p. (2011; Zbl 1246.30066); Math. Methods Appl. Sci. 35, No. 17, 2095--2100 (2012; Zbl 1273.30023)], \textit{J.-H. Wang} et al. [Adv. Pure Math. 1, No. 4, 210--217 (2011; Zbl 1242.30029)] and \textit{B.-M. Deng} et al. Complex Var. Elliptic Equ. 59, No. 5, 616--630 (2014; Zbl 1291.30230)]. Also, some examples are given to show the sharpness of our results.
Mathematics Subject Classification ID: 30D45
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 6306696
zbMATH Keywords: meromorphic functions
zbMATH Keywords: normal families
zbMATH Keywords: shared values
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/368321
OpenAlex ID: W2033945707
Wikidata QID: Q58916060
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description: scientific article; zbMATH DE number 6306696