کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4630608 1340604 2011 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Closure properties of operators on the Ma–Minda type starlike and convex functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Closure properties of operators on the Ma–Minda type starlike and convex functions
چکیده انگلیسی

A normalized univalent function f   is called Ma–Minda starlike or convex if zf′(z)/f(z)≺φ(z)zf′(z)/f(z)≺φ(z) or 1+zf″(z)/f′(z)≺φ(z)1+zf″(z)/f′(z)≺φ(z) where φφ is a convex univalent function with φ(0)=1φ(0)=1. The class of Ma–Minda convex functions is shown to be closed under certain operators that are generalizations of previously studied operators. Analogous inclusion results are also obtained for subclasses of starlike and close-to-convex functions. Connections with various earlier works are made.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 3, 1 October 2011, Pages 667–672
نویسندگان
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