CONVOLUTIONS OF A SUBCLASS OF HARMONIC UNIVALENT MAPPINGS

YAŞAR E., Ozdemir O.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.10, sa.2, ss.353-359, 2020 (ESCI) identifier identifier

  • 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.