Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 873184, 16 pages
doi:10.1155/2011/873184
Research Article

Normality Criteria of Lahiri's Type and Their Applications

Xiao-Bin Zhang,1 Jun-Feng Xu,1,2 and Hong-Xun Yi1

1Department of Mathematics, Shandong University, Jinan, Shandong 250100, China
2Department of Mathematics, Wuyi University, Jiangmen, Guangdong 529020, China

Received 22 September 2010; Revised 9 January 2011; Accepted 9 February 2011

Academic Editor: Siegfried Carl

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.

Abstract

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.