Inclusion properties for analytic functions of q-analogue multiplier-Ruscheweyh operator

被引:2
|
作者
Ali, Ekram E. [1 ,2 ]
El-Ashwah, Rabha M. [3 ]
Albalahi, Abeer M. [1 ]
Sidaoui, R. [1 ]
Moumen, Abdelkader [1 ]
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] Damietta Univ, Fac Sci, Dept Math, New Damietta 34517, Egypt
来源
AIMS MATHEMATICS | 2024年 / 9卷 / 03期
关键词
analytic function; q-difference operator; q-analogue Catas operator; q-analogue of Ruscheweyh operator; FAMILY;
D O I
10.3934/math.2024330
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The results of this work have a connection with the geometric function theory and they were obtained using methods based on subordination along with information on q-calculus operators. We defined the q-analogue of multiplier- Ruscheweyh operator of a certain family of linear operators I-q,mu(s)(lambda,& ell;)f(sigma)(s is an element of N-0=N boolean OR{0},N={1,2,3,..};& ell;,lambda,mu >= 0,0<q<1). Our major goal was to build some analytic function subclasses using I-q,mu(s)(lambda,& ell;)f(sigma) and to look into various inclusion relationships that have integral preservation features.
引用
收藏
页码:6772 / 6783
页数:12
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