Boundary limits of fractional derivatives of univalent functions

被引：2

作者：

MacGregor, Thomas H. ^{[1
]}

Sterner, Michael P. ^{[2
]}

机构：

[1] Bowdoin Coll, Dept Math, Brunswick, ME 04011 USA

[2] Univ Montevallo, Dept Biol Chem & Math, Montevallo, AL USA

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2018年 / 63卷 / 11期

关键词：

Analytic functions; boundary limits; compositions; fractional derivatives; univalent functions; TANGENTIAL LIMITS; BEHAVIOR;

D O I：

10.1080/17476933.2017.1385069

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Each function which is analytic and univalent in the open unit disk in the complex plane has a tangential boundary limit almost everywhere with an approach having exponential contact. In this paper, we obtain corresponding results for the fractional derivatives f((alpha)) of univalent functions, for 0 < alpha < 1.

引用

页码：1529 / 1538

页数：10

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