THIRD-ORDER DIFFERENTIAL SUBORDINATION RESULTS FOR ANALYTIC FUNCTIONS INVOLVING THE GENERALIZED BESSEL FUNCTIONS

被引：0

作者：

汤获 ^{[1
,2
]}

Erhan DENIZ ^{[3
]}

机构：

[1] School of Mathematics and Statistics,Chifeng University

[2] School of Mathematical Sciences,Beijing Normal University

[3] Department of Mathematics,Faculty of Science and Letters,Kafkas University

来源：

ActaMathematicaScientia | 2014年 / 34卷 / 06期

关键词：

differential subordination; univalent functions; Hadamard product; admissible functions; generalized Bessel functions;

D O I：

暂无

中图分类号：

O174 [函数论];

学科分类号：

070104 ;

摘要：

In the present paper, we derive some third-order differential subordination results for analytic functions in the open unit disk, using the operator Bcκf by means of normalized form of the generalized Bessel functions of the first kind, which is defined as z(Bcκ+1f(z))′= κBcκf(z)-(κ- 1)Bcκ+1f(z),where b, c, p ∈ C and κ = p +(b + 1)/2 ∈ C \ Z-0(Z-0= {0,-1,-2, ··· }). The results are obtained by considering suitable classes of admissible functions. Various known or new special cases of our main results are also pointed out.

引用

页码：1707 / 1719

页数：13

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