Open AccessApplications of Certain Operators to the Classes of Analytic Functions Related to the Generalized Janowski Functions
Author(s) -
Khalida İnayat Noor,
Shujaat Ali Shah
Publication year - 2020
Publication title -
earthline journal of mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2581-8147
DOI - 10.34198/ejms.4220.211225
Subject(s) - analytic function , conic section , convolution (computer science) , convex function , class (philosophy) , mathematics , regular polygon , linear operators , pure mathematics , algebra over a field , mathematical analysis , computer science , artificial intelligence , geometry , artificial neural network , bounded function
We introduce certain subclasses of analytic functions related to the class of analytic, convex univalent functions. We discuss some results including inclusion relationships and invariance of the classes under convex convolution in terms of certain linear operators. Applications of these results associated with the generalized Janowski functions and conic domains are considered. Also, several radius problems are investigated.