کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4631922 1340632 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Schwarzian derivative, integral means, and the affine and linear invariant families of biharmonic mappings
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Schwarzian derivative, integral means, and the affine and linear invariant families of biharmonic mappings
چکیده انگلیسی
In this paper we discuss the properties of the Schwarzian derivative, integral means and the affine and linear invariant families of biharmonic mappings. First, we introduce the Schwarzian derivative S(F) for biharmonic mappings F = ∣z∣2G + H, and obtain several necessary and sufficient conditions for S(F) to be analytic. Second, we introduce the subordination of biharmonic mappings and obtain inequalities for integral means of subordinate biharmonic mappings. Finally, we introduce the affine and linear invariant families of biharmonic mappings and prove several estimates related to the Jacobian of functions in these invariant families.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 12, 15 August 2010, Pages 3468-3479
نویسندگان
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