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

被引：26

作者：

Tang, Huo ^{[1
,2
]}

Deniz, Erhan ^{[3
]}

机构：

[1] Chifeng Univ, Sch Math & Stat, Chifeng 024000, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[3] Kafkas Univ, Fac Sci & Letters, Dept Math, Kars, Turkey

来源：

ACTA MATHEMATICA SCIENTIA | 2014年 / 34卷 / 06期

关键词：

differential subordination; univalent functions; Hadamard product; admissible functions; generalized Bessel functions; OPERATORS PRESERVING SUBORDINATION; GEOMETRIC-PROPERTIES; SUPERORDINATION; UNIVALENCE; CONVEXITY; SUBCLASSES;

D O I：

10.1016/S0252-9602(14)60116-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 B-k(c) f by means of normalized form of the generalized Bessel functions of the first kind, which is defined as z(B(kappa+1)(c)f(z))' = kappa B(kappa)(c)f(z) - (kappa - 1)B(kappa+1)(c)f (z), where b, c, p is an element of C and kappa = p + (b + 1)/2 is an element of 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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