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.

引用

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页码：1095 / 1106

页数：12

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