کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8898456 | 1631384 | 2018 | 30 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Approximation properties of univalent mappings on the unit ball in Cn
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let nâ¥2. In this paper, we obtain approximation properties of various families of normalized univalent mappings f on the Euclidean unit ball Bn in Cn by automorphisms of Cn whose restrictions to Bn have the same geometric property of f. First, we obtain approximation properties of spirallike, convex and g-starlike mappings f on Bn by automorphisms of Cn whose restrictions to Bn have the same geometric property of f, respectively. Next, for a nonresonant operator A with m(A)>0, we obtain an approximation property of mappings which have A-parametric representation by automorphisms of Cn whose restrictions to Bn have A-parametric representation. Certain questions will be also mentioned. Finally, we obtain an approximation property by automorphisms of Cn for a subset of SIn0(Bn) consisting of mappings f which satisfy the condition âDf(z)âInâ<1, zâBn. Related results will be also obtained.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 226, February 2018, Pages 14-33
Journal: Journal of Approximation Theory - Volume 226, February 2018, Pages 14-33
نویسندگان
H. Hamada, M. Iancu, G. Kohr, S. SchleiÃinger,