Sufficient conditions for univalence obtained by using first order nonlinear strong differential subordinations

被引：1

作者：

Oros, Georgia Irina ^{[1
]}

机构：

[1] Univ Oradea, Dept Math, Oradea 410087, Romania

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2014年 / 16卷 / 01期

关键词：

analytic function; differential subordination; strong subordination; first order linear; first order nonlinear;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The concept of differential subordination was introduced in [3] by S.S. Miller and P.T. Mocanu and the concept of strong differential subordination was introduced in [1] by J.A. Antonino and S. Romaguera. This last concept was applied in the special case of Briot-Bouquet strong differential subordination. In [5] the authors have developed the general theory of strong differential subordinations following the general theory introduced in [3]. In [6], the special case of first order linear strong differential subordinations was studied. Now, we study another special case, the first order nonlinear strong differential subordinations.

引用

页码：149 / 152

页数：4

共 7 条

[1] STRONG DIFFERENTIAL SUBORDINATION TO BRIOT-BOUQUET DIFFERENTIAL-EQUATIONS
ANTONINO, JA
ROMAGUERA, S
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 114 (01) : 101 - 105
[2] Antonino JA, 2006, J KOREAN MATH SOC, V43, P311
[3] MILLER SS, 1981, MICH MATH J, V28, P157
[4] MILLER SS, 2000, PURE APPL MATH
[5] Oros G.I., 2007, GEN MATH, V15, P77
[6] Strong differential subordination
Oros, Georgia Irina
Oros, Gheorghe
[J]. TURKISH JOURNAL OF MATHEMATICS, 2009, 33 (03) : 249 - 257
[7] Oros Georgia Irina, 2003, ANALELE U ORADEA FAS, P65

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