Harmonic mappings related to the m-fold starlike functions
Küçük Resim Yok
Tarih
2015
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Inc.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper we will give some properties of the subclass of harmonic mappings which is related to m-fold starlike functions in the open unit disc D={z
z|<1}. Throughout this paper we restrict ourselves to the study of sense-preserving harmonic mappings. We also note that an elegant and complete treatment theory of the harmonic mapping is given in Durens monograph (Duren, 1983). The main aim of us to investigate some properties of the new class of us which represented as in the following form,S?H(m)=f=h(z)+g(z)|f?SH(m),g?(z)h?(z)b1p(z),h(z)?S?(m),p(z)?P(m),where h(z)=z+?n=1?amn+<inf>1</inf>zmn+1, g(z)=?n=0?bmn+<inf>1</inf>zmn+1,|b1|<1. © 2014 Published by Elsevier Inc. All rights reserved.
z|<1}. Throughout this paper we restrict ourselves to the study of sense-preserving harmonic mappings. We also note that an elegant and complete treatment theory of the harmonic mapping is given in Durens monograph (Duren, 1983). The main aim of us to investigate some properties of the new class of us which represented as in the following form,S?H(m)=f=h(z)+g(z)|f?SH(m),g?(z)h?(z)b1p(z),h(z)?S?(m),p(z)?P(m),where h(z)=z+?n=1?amn+<inf>1</inf>zmn+1, g(z)=?n=0?bmn+<inf>1</inf>zmn+1,|b1|<1. © 2014 Published by Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
Distortion theorem, Growth theorem, m-fold starlike functions
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
267
