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Displaying similar documents to “Some normality criteria of meromorphic functions.”

Normality and shared sets of meromorphic functions

Guo-Bin Lin, Jun-Fan Chen (2011)

Open Mathematics

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The purpose of this paper is to investigate the normal families and shared sets of meromorphic functions. The results obtained complement the related results due to Fang, Liu and Pang.

A normality criterion for meromorphic functions having multiple zeros

Shanpeng Zeng, Indrajit Lahiri (2014)

Annales Polonici Mathematici

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We prove a normality criterion for a family of meromorphic functions having multiple zeros which involves sharing of a non-zero value by the product of functions and their linear differential polynomials.

Meromorphic functions that share a nonzero polynomial IM

Pulak Sahoo (2012)

Mathematica Bohemica

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We study the uniqueness theorems of meromorphic functions concerning differential polynomials sharing a nonzero polynomial IM, and obtain two theorems which will supplement two recent results due to X. M. Li and L. Gao.

On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative

Abhijit Banerjee, Sujoy Majumder (2010)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

In the paper we discuss the uniqueness of the n -th power of a meromorphic function sharing a small function with the power of its k -th derivative and improve and supplement a result of Zhang-Lü [Complex Var. Elliptic Equ. 53 (2008), no. 9, 857–867]. We also rectify one recent result obtained by Chen and Zhang in [Kyungpook Math. J. 50 (2010), no. 1, 71–80] dealing with a question posed by T.D. Zhang and W.R. Lü in [Complex Var. Elliptic Equ. 53 (2008), no. 9, 857–867].