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A note on some results of Li and Li

Sujoy Majumder, Somnath Saha

Received December 18, 2016.   First published October 19, 2017.

Abstract: The purpose of the paper is to study the uniqueness problems of linear differential polynomials of entire functions sharing a small function and obtain some results which improve and generalize the related results due to J. T. Li and P. Li (2015). Basically we pay our attention to the condition $\lambda(f)\not=1$ in Theorems 1.3, 1.4 from J. T. Li and P. Li (2015). Some examples have been exhibited to show that conditions used in the paper are sharp.

Keywords: entire function; linear differential polynomial; uniqueness

Classification (MSC 2010): 30D35

DOI: 10.21136/MB.2017.0106-16

Full text available as PDF.

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