Subordinations and superordinations studies using q-difference operator

被引:1
作者
Ali, Ekram E. [1 ,2 ]
Breaz, Nicoleta [3 ]
El-Ashwah, Rabha M. [4 ]
机构
[1] Univ Hail, Coll Sci, Dept Math, Hail 81451, Saudi Arabia
[2] Port Said Univ, Fac Sci, Dept Math & Comp Sci, Port Said 42521, Egypt
[3] 1 Decembrie 1918 Univ Alba Iulia, Fac Comp Sci & Engn, Dept Math, St Nicolae Iorga 11-13, R-510009 Alba Iulia, Romania
[4] Damietta Univ, Fac Sci, Dept Math, New Damietta 34517, Egypt
来源
AIMS MATHEMATICS | 2024年 / 9卷 / 07期
关键词
analytic function; di ff erential subordination; superordination; q-di ff erence operator; q-analogue Catas operator; q-analogue of Ruscheweyh operator;
D O I
10.3934/math.2024886
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The results of this work belong to the field of geometric function theory, being based on di ff erential subordination methods. Using the idea of the q -calculus operators, we define the q -analogue of the multiplier- Ruscheweyh operator of a specific family of linear operators, I s q ,mu ( lambda, ` ) . Our major goal is to build and investigate some analytic function subclasses using I s q ,mu ( lambda, ` ). Also, some di ff erential subordination and superordination results are obtained. Moreover, based on the new theoretical results, several examples are constructed. For every di ff erential superordination under investigation, the best subordinant is provided.
引用
收藏
页码:18143 / 18162
页数:20
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