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On the generalization of two results of Cao and Zhang

Sujoy Majumder

Received May 6, 2015.   First published February 1, 2017.

Abstract: This paper studies the uniqueness of meromorphic functions $$f^n\prod_{i=1}^k(f^{(i)})^{n_i}\quadand\quad g^n\prod_{i=1}^k(g^{(i)})^{n_i}$$ that share two values, where $n, n_k, k\in\mathbb{N}$, $n_i\in\mathbb{N}\cup\{0\}$, $i=1,2,\ldots,k-1$. The results significantly rectify, improve and generalize the results due to Cao and Zhang (2012).

Keywords: uniqueness; meromorphic function; weighted sharing; nonlinear differential polynomials

Classification (MSC 2010): 30D35

DOI: 10.21136/MB.2017.0021-15

Full text available as PDF.

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