International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 66, Pages 4183-4193

Two-point distortion theorems for certain families of analytic functions in the unit disc

Yaşar Polatoğlu, Metın Bolcal, and Arzu Şen

Department of Mathematics and Computer Science, Faculty of Sciences and Arts, Istanbul Kültür University, Istanbul 34191, Turkey

Received 11 August 2002

Copyright © 2003 Yaşar Polatoğlu 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 give two-point distortion theorems for various subfamilies of analytic univalent functions. We also find the necessary and sufficient condition for these subclasses of analytic functions.