Hankel and Symmetric Toeplitz Determinants for a New Subclass of <i>q</i>-Starlike Functions

Hankel and Symmetric Toeplitz Determinants for a New Subclass of <i>q</i>-Starlike Functions

This paper considers the basic concepts of <i>q</i>-calculus and the principle of subordination. We define a new subclass of <i>q</i>-starlike functions related to the Salagean <i>q</i>-differential operator. For this class, we investigate initial coefficient esti...

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Bibliographic Details
Main Authors:	Isra Al-shbeil, Jianhua Gong, Shahid Khan, Nazar Khan, Ajmal Khan, Mohammad Faisal Khan, Anjali Goswami
Format:	Article
Language:	English
Published:	MDPI AG 2022-11-01
Series:	Fractal and Fractional
Subjects:	analytic functions quantum calculus <i>q</i>-derivative operator salagean <i>q</i>-differential operator <i>q</i>-starlike functions Hankel determinants
Online Access:	https://www.mdpi.com/2504-3110/6/11/658

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Summary:	This paper considers the basic concepts of <i>q</i>-calculus and the principle of subordination. We define a new subclass of <i>q</i>-starlike functions related to the Salagean <i>q</i>-differential operator. For this class, we investigate initial coefficient estimates, Hankel determinants, Toeplitz matrices, and Fekete-Szegö problem. Moreover, we consider the <i>q</i>-Bernardi integral operator to discuss some applications in the form of some results.
ISSN:	2504-3110