Open Access
Translator Disclaimer
2009 Uniqueness of Entire Functions Sharing Polynomials with Their Derivatives
Jianming Qi, Feng Lü, Ang Chen
Abstr. Appl. Anal. 2009: 1-9 (2009). DOI: 10.1155/2009/847690

Abstract

We use the theory of normal families to prove the following. Let Q1(z)=a1zp+a1,p1zp1++a1,0 and Q2(z)=a2zp+a2,p1zp1++a2,0 be two polynomials such that degQ1=degQ2=p (where p is a nonnegative integer) and a1,a2(a20) are two distinct complex numbers. Let f(z) be a transcendental entire function. If f(z) and f(z) share the polynomial Q1(z) CM and if f(z)=Q2(z) whenever f(z)=Q2(z), then ff. This result improves a result due to Li and Yi.

Citation

Download Citation

Jianming Qi. Feng Lü. Ang Chen. "Uniqueness of Entire Functions Sharing Polynomials with Their Derivatives." Abstr. Appl. Anal. 2009 1 - 9, 2009. https://doi.org/10.1155/2009/847690

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1177.30038
MathSciNet: MR2516013
Digital Object Identifier: 10.1155/2009/847690

Rights: Copyright © 2009 Hindawi

JOURNAL ARTICLE
9 PAGES


SHARE
Vol.2009 • 2009
Back to Top