Work

Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions

Year: 2017

Type: article

Abstract: We find sharp sufficient conditions for the boundedness of fractional derivatives of a bounded analytic function in a Stolz angle.If F = 0 in the unit disc, the necessary and sufficient conditions for the boundedness of fractional derivatives of its argument in a Stolz angle are established.

Source: Zurnal matematiceskoj fiziki analiza geometrii

DOI: 10.15407/mag13.02.107

Authors: I. Chyzhykov, Yu. Kosaniak

Institution: Lviv University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2617577169

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Cites: 13

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Related to: 10