On a linear combination of classes of harmonic $p-$valent functions defined by certain modified operator

Document Type : Research Paper


Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt.


In this paper we obtain coefficient characterization‎, ‎extreme points and‎
‎distortion bounds for the classes of harmonic $p-$valent functions‎
‎defined by certain modified operator‎. ‎Some of our results improve‎
‎and generalize previously known results‎.


Main Subjects

Volume 40, Issue 6 - Serial Number 6
December 2014
Pages 1539-1551
  • Receive Date: 24 October 2012
  • Revise Date: 19 November 2013
  • Accept Date: 21 November 2013
  • First Publish Date: 01 December 2014