کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4617368 1339378 2012 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The winding number of Pf+1Pf+1 for polynomials PP and meromorphic extendibility of ff
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The winding number of Pf+1Pf+1 for polynomials PP and meromorphic extendibility of ff
چکیده انگلیسی

Let ΔΔ be the open unit disc in CC. The paper deals with the following conjecture: if ff is a continuous function on bΔbΔ such that the change of argument of Pf+1Pf+1 around bΔbΔ is nonnegative for every polynomial PP such that Pf+1Pf+1 has no zero on bΔbΔ then ff extends holomorphically through ΔΔ. We prove a related result on meromorphic extendibility for smooth functions with finitely many zeros of finite order, which, in particular, implies that the conjecture holds for real analytic functions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 393, Issue 1, 1 September 2012, Pages 25–32
نویسندگان
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