CONVOLUTIONS OF A SUBCLASS OF HARMONIC UNIVALENT MAPPINGS
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.10, sa.2, ss.353-359, 2020 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 10 Sayı: 2
- Basım Tarihi: 2020
- Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.353-359
- Anahtar Kelimeler: Harmonic mappings, harmonic convolution, univalence, CONVEX
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
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.