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.
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页码：1529 / 1538
页数：10
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