On Third-Order Differential Subordination and Superordination Properties of Analytic Functions Defined by a Generalized Operator

被引：11
作者：
Atshan, Waggas Galib [1 ]
Hiress, Rajaa Ali [2 ]
Altinkaya, Sahsene [3 ]
机构：
[1] Univ Al Qadisiyah, Dept Math, Coll Sci, Diwaniyah 58001, Iraq
[2] Minist Educ, Educ Al Qadisiyah, Diwaniyah 58001, Iraq
[3] Beykent Univ, Dept Math, TR-34500 Istanbul, Turkey
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 02期
关键词：
analytic function; subordination; superordination; sandwich result; dominant; subordinant;
D O I：
10.3390/sym14020418
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this current study, we aim to give some results for third-order differential subordination and superordination for analytic functions in U={z & ISIN;DOUBLE-STRUCK CAPITAL C:|z|< 1} involving the generalized operator I(alpha,beta)(j)f. The results are derived by investigating relevant classes of admissible functions. Some new results on differential subordination and superordination with some sandwich theorems are obtained. Moreover, several particular cases are also noted. The properties and results of the differential subordination are symmetry to the properties of the differential superordination to form the sandwich theorems.
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页数：17
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