Some properties for certain class of bi-univalent functions defined by q-Catas operator with bounded boundary rotation

被引:2
|
作者
Madian, S. M. [1 ]
机构
[1] Higher Inst Engn & Technol, Basic Sci Dept, New Damietta, Egypt
来源
AIMS MATHEMATICS | 2022年 / 7卷 / 01期
关键词
bi-univalent functions; q-analogue Catas operator; Bazilevic functions; bounded boundary rotation; Q-STARLIKE FUNCTIONS; MULTIVALENT-FUNCTIONS; COEFFICIENT BOUNDS; HANKEL DETERMINANT; SUBCLASSES; LEMNISCATE;
D O I
10.3934/math.2022053
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Throughout the paper, we introduce a new subclass H-alpha,mu,rho,m,beta(n,q,lambda,l) f(z) by using the Bazilevic functions with the idea of bounded boundary rotation and q-analogue Catas operator. Also we find the estimate of the coefficients for functions in this class. Finally, in the concluding section, we have chosen to reiterate the well-demonstrated fact that any attempt to produce the rather straightforward (p, q)-variations of the results, which we have presented in this article, will be a rather trivial and inconsequential exercise, simply because the additional parameter p is obviously redundant.
引用
收藏
页码:903 / 914
页数:12
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