کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6420405 1631787 2015 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Harmonic mappings related to the m-fold starlike functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Harmonic mappings related to the m-fold starlike functions
چکیده انگلیسی

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+1zmn+1, g(z)=∑n=0∞bmn+1zmn+1,|b1|<1.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 267, 15 September 2015, Pages 805-809
نویسندگان
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