Uniqueness of Entire Functions Sharing Polynomials with Their Derivatives

Uniqueness of Entire Functions Sharing Polynomials with Their Derivatives

We use the theory of normal families to prove the following. Let Q1(z)=a1zp+a1,p−1zp−1+⋯+a1,0 and Q2(z)=a2zp+a2,p−1zp−1+⋯+a2,0 be two polynomials such that deg⁡Q1=deg⁡Q2=p (where p is a nonnegative integer) and a1,a2(a2≠0) are two distinct complex numbers. Let f(z) be a transcendental entire functio...

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Bibliographic Details
Main Authors: Jianming Qi, Feng Lü, Ang Chen
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2009/847690
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