Copyright © 2010 Qifeng Wu et al. This is an open access article distributed under the
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A result of Hinchliffe (2003) is extended to transcendental entire function, and an
alternative proof is given in this paper. Our main result is as follows: let be an analytic
function, a family of analytic functions in a domain , and a transcendental entire function. If and share IM for each pair , and one of the following conditions holds: (1) has at least two distinct zeros for any ; (2) is nonconstant, and there exists such that has only one distinct zero , and suppose that the multiplicities and of zeros of and at , respectively, satisfy , for each , where ; (3) there exists a such that has no zero, and is nonconstant, then is normal in .