Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We first prove that the convolution of a normalized right half-plane mapping with another subclass of normalized right half-plane mappings with the dilatation [...] −z(a+z)/(1+az) $ - z(a + z)/(1 + az)$ is CHD (convex in the horizontal direction) provided [...] a=1 $a = 1$ or [...] −1≤a≤0 $ - 1 \le a \le 0$ . Secondly, we give a simply method to prove the convolution of two special subclasses of harmonic univalent mappings in the right half-plane is CHD which was proved by Kumar et al. [1, Theorem 2.2]. In addition, we derive the convolution of harmonic univalent mappings involving the generalized harmonic right half-plane mappings is CHD. Finally, we present two examples of harmonic mappings to illuminate our main results.
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
789-800
Opis fizyczny
Daty
wydano
2016-01-01
otrzymano
2016-03-22
zaakceptowano
2016-07-27
online
2016-10-20
Twórcy
autor
- College of Mathematics, Honghe University, Mengzi 661199, Yunnan,, liyingchunmath@163.com
autor
- College of Mathematics, Honghe University, Mengzi 661199, Yunnan,, liuzhihongmath@163.com
- School of Mathematics and Econometrics, Hunan University, Changsha 410082, Hunan,
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_math-2016-0069