On The Coefficient Conjecture of Clunie and Sheil-Small
Complex Variables
2019-03-01 v1
Abstract
In this paper, we first prove relation between analytic and co-analytic part of the class harmonic univalent functions S_H(S):={f = h+\overline g|h is element of S} by means of second dilatation is constant. Next, we verify the coefficient conjecture of Clunie and Sheil-Small for class of harmonic univalent functions. Finally, we obtain distortion bounds of this class.
Keywords
Cite
@article{arxiv.1902.11225,
title = {On The Coefficient Conjecture of Clunie and Sheil-Small},
author = {Yaşar Polatoğlu and Oya Mert and Asena Çetinkaya},
journal= {arXiv preprint arXiv:1902.11225},
year = {2019}
}