Displaying similar documents to “Uniqueness of meromorphic functions sharing one value.”

Uniqueness of meromorphic functions sharing a meromorphic function of a smaller order with their derivatives

Xiao-Min Li, Hong-Xun Yi (2010)

Annales Polonici Mathematici

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We prove some uniqueness theorems for meromorphic functions and their derivatives that share a meromorphic function whose order is less than those of the above meromorphic functions. The results in this paper improve those given by G. G. Gundersen & L. Z. Yang, J. P. Wang, J. M. Chang & Y. Z. Zhu, and others. Some examples are provided to show that our results are the best possible.

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

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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].