Title of article :
CONVOLUTIONS OF A SUBCLASS OF HARMONIC UNIVALENT MAPPINGS
Author/Authors :
YASAR, ELIF Department of Mathematics - Faculty of Arts and Science,Uludag University - Bursa, Turkey , OZDEMIR, OZGE Department of Mathematics - Faculty of Arts and Science,Uludag University - Bursa, Turkey
Abstract :
The main object of this paper is to investigate the convolution of a subclass
of harmonic univalent mappings which is denoted by fa and generalized harmonic univalent mapping which is denoted by Pc. We obtained Pc ∗ fa is univalent and convex
in the horizantal direction for 0 < c ≤
2(1−a)
1+a
. In addition, we present an example and
illustrate it graphically with the help of Maple to explain the behaviour of image domain.
Keywords :
Harmonic mappings , harmonic convolution , univalence
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
