Properties of neighborhood for certain classes associated with complex order and m-q-p-valent functions with higher order

被引:0
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作者
Samar Madian
机构
[1] Higher Institute of Engineering and Technology,Basic Science Department
关键词
Complex order; Coefficient estimates; Neighborhood; -valent; 30C45;
D O I
10.1186/s42787-022-00149-8
中图分类号
学科分类号
摘要
In this paper, by using q-calculus (Jackson’s q-derivative) Dq,p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$D_{q,p}$$\end{document} we defined new operator Dλ,q,pnf(m)(z)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$D_{\lambda ,q,p}^{n}f^{(m)}(z)$$\end{document}. After that, we used this operator to introduce two new subclasses of multivalent analytic functions with complex order. Also, we obtained coefficients estimates and consequent inclusion relationships involving the Nj,δ,mp,q(f)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$N_{j,\delta ,m}^{p,q}(f)$$\end{document}-neighborhood of these classes
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