ON A CLASS OF UNIVALENT FUNCTIONS DEFINED BY SALAGEAN INTEGRO-DIFFERENTIAL OPERATOR

被引：6
|
作者：
Pall-Szabo, A. O. [1 ]
机构：
[1] Babes Bolyai Univ, Cluj Napoca, Romania
来源：
MISKOLC MATHEMATICAL NOTES | 2018年 / 19卷 / 02期
关键词：
analytic functions; convex function; Salagean integro-differential operator; differential operator; differential subordination; dominant; best dominant; SUBORDINATION;
D O I：
10.18514/MMN.2018.2457
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider the L-n : A -> A, L(n)f(z) = (1 - lambda)D(n)f(z) + lambda I-n f(z) linear operator, where D-n is the Salagean differential operator and I-n is the Salagean integral operator. We study several differential subordinations generated by L-n. We introduce a class of holomorphic functions L-n(m)(beta), and obtain some subordination results.
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页码：1095 / 1106
页数：12
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