Multivalent Functions and Differential Operator Extended by the Quantum Calculus

被引：11
|
作者：
Hadid, Samir B. [1 ,2 ]
Ibrahim, Rabha W. [3 ]
Momani, Shaher [1 ,4 ]
机构：
[1] Ajman Univ, Dept Math & Sci, Coll Humanities & Sci, POB 346, Ajman, U Arab Emirates
[2] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, POB 346, Ajman, U Arab Emirates
[3] Inst Elect & Elect Engineers IEEE 94086547, Portland, OR USA
[4] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan
来源：
FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 07期
关键词：
quantum calculus; analytic function; subordination and superordination; differential subordination; univalent function; open unit disk; fractional calculus; multivalent functions; meromorphic functions; Q-STARLIKE FUNCTIONS; SUBCLASS;
D O I：
10.3390/fractalfract6070354
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We used the concept of quantum calculus (Jackson's calculus) in a recent note to develop an extended class of multivalent functions on the open unit disk. Convexity and star-likeness properties are obtained by establishing conditions for this class. The most common inequalities of the proposed functions are geometrically investigated. Our approach was influenced by the theory of differential subordination. As a result, we called attention to a few well-known corollaries of our main conclusions.
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页数：15
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