کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8899793 1631551 2018 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Boundedness of derivatives and anti-derivatives of holomorphic functions as a rare phenomenon
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Boundedness of derivatives and anti-derivatives of holomorphic functions as a rare phenomenon
چکیده انگلیسی
In this article we prove a general result which in particular suggests that, on a simply connected domain Ω in C, all the derivatives and anti-derivatives of the generic holomorphic function are unbounded. A similar result holds for the operator T˜N of partial sums of the Taylor expansion with center ζ∈Ω at z=0, seen as functions of the center ζ. We also discuss a universality result of these operators T˜N.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 462, Issue 2, 15 June 2018, Pages 1073-1086
نویسندگان
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