Uniqueness of Entire Functions Sharing Polynomials with Their Derivatives

Jianming Qi, Feng Lã¼ and Ang Chen

Abstract and Applied Analysis, 2009, vol. 2009, 1-9

Abstract:

We use the theory of normal families to prove the following. Let and be two polynomials such that (where is a nonnegative integer) and are two distinct complex numbers. Let be a transcendental entire function. If and share the polynomial and if whenever , then . This result improves a result due to Li and Yi.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:847690

DOI: 10.1155/2009/847690

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