A normality criterion involving rotations and dilations in the argument期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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A normality criterion involving rotations and dilations in the argument

Authors:

Jürgen Grahl

Institution:

1. Department of Mathematics, University of W??rzburg, Am Hubland, DE-97074, W??rzburg, Germany

Abstract:

We show that a family F\mathcal{F} of analytic functions in the unit disk \mathbbD{\mathbb{D}} all of whose zeros have multiplicity at least k and which satisfy a condition of the form

fⁿ(z)f^(k)(xz) 1 1f^n(z)f^{(k)}(xz)\ne1

Keywords:
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