کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8899344 | 1631542 | 2018 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Interior and exterior curves of finite Blaschke products
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
For a Blaschke product B of degree d and λ on âD, let âλ be the set of lines joining each distinct two preimages in Bâ1(λ). The envelope of the family of lines {âλ}λââD is called the interior curve associated with B. In 2002, Daepp, Gorkin, and Mortini proved the interior curve associated with a Blaschke product of degree 3 forms an ellipse. While let Lλ be the set of lines tangent to âD at the d preimages Bâ1(λ) and the trace of the intersection points of each two elements in Lλ as λ ranges over the unit circle is called the exterior curve associated with B. In 2017, the author proved the exterior curve associated with a Blaschke product of degree 3 forms a non-degenerate conic. In this paper, for a Blaschke product of degree d, we give some geometrical properties that lie between the interior curve and the exterior curve.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 467, Issue 1, 1 November 2018, Pages 711-722
Journal: Journal of Mathematical Analysis and Applications - Volume 467, Issue 1, 1 November 2018, Pages 711-722
نویسندگان
Masayo Fujimura,