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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Interior and exterior curves of finite Blaschke products
چکیده انگلیسی
For a Blaschke product B of degree d and λ on ∂D, let ℓλ be the set of lines joining each distinct two preimages in B−1(λ). The envelope of the family of lines {ℓλ}λ∈∂D 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 ∂D at the d preimages B−1(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
نویسندگان
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