Coefficient Inequalities for a Subclass of Symmetric q -Starlike Functions Involving Certain Conic Domains

In this paper, we make use of a certain Ruscheweyh-type q -differential operator to introduce and study a new subclass of q -starlike symmetric functions, which are associated with conic domains and the well-known celebrated Janowski functions in D. We then investigate many properties for the newly...

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Bibliographic Details
Main Authors: Mohammad Faisal Khan, Nazar Khan, Serkan Araci, Shahid Khan, Bilal Khan
Format: Article
Language:English
Published: Hindawi Limited 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/9446672
Description
Summary:In this paper, we make use of a certain Ruscheweyh-type q -differential operator to introduce and study a new subclass of q -starlike symmetric functions, which are associated with conic domains and the well-known celebrated Janowski functions in D. We then investigate many properties for the newly defined functions class, including for example coefficients inequalities, the Fekete–Szegö Problems, and a sufficient condition. There are also relevant connections between the results provided in this study and those in a number of other published articles on this subject.
ISSN:2314-4785