Copyright © 2011 Xiao-Bin Zhang et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We prove two normality criteria for families of some functions concerning
Lahiri's type, the results generalize those given by Charak and Rieppo, Xu and
Cao. As applications, we study a problem related to R. Brück's Conjecture and obtain
a result that generalizes those given by Yang and Zhang, Lü, Xu and Chen.