TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, vol.10, no.2, pp.353-359, 2020 (Peer-Reviewed Journal)
Article / Article
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
Emerging Sources Citation Index, Scopus, TR DİZİN (ULAKBİM)
Harmonic mappings, harmonic convolution, univalence, CONVEX
The main object of this paper is to investigate the convolution of a subclass of harmonic univalent mappings which is denoted by f(a) and generalized harmonic univalent mapping which is denoted by P-c. We obtained P-c * f(a) 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.