Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions

Isra Al-shbeil; Jianhua Gong; Shahid Khan; Nazar Khan; Ajmal Khan; Mohammad Faisal Khan; Anjali Goswami

doi:10.3390/fractalfract6110658

Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions

Isra Al-shbeil
, Jianhua Gong
, Shahid Khan
, Nazar Khan
, Ajmal Khan
, Mohammad Faisal Khan
, Anjali Goswami

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

Abstract

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

Original language	English
Article number	658
Journal	Fractal and Fractional
Volume	6
Issue number	11
DOIs	https://doi.org/10.3390/fractalfract6110658
Publication status	Published - Nov 2022

Keywords

Hankel determinants
Toeplitz matrices
analytic functions
q-derivative operator
q-starlike functions
quantum calculus
salagean q-differential operator

ASJC Scopus subject areas

Analysis
Statistical and Nonlinear Physics
Statistics and Probability

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10.3390/fractalfract6110658

Cite this

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abstract = "This paper considers the basic concepts of q-calculus and the principle of subordination. We define a new subclass of q-starlike functions related to the Salagean q-differential operator. For this class, we investigate initial coefficient estimates, Hankel determinants, Toeplitz matrices, and Fekete-Szeg{\"o} problem. Moreover, we consider the q-Bernardi integral operator to discuss some applications in the form of some results.",

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author = "Isra Al-shbeil and Jianhua Gong and Shahid Khan and Nazar Khan and Ajmal Khan and Khan, \{Mohammad Faisal\} and Anjali Goswami",

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AU - Al-shbeil, Isra

AU - Gong, Jianhua

AU - Khan, Shahid

AU - Khan, Nazar

AU - Khan, Ajmal

AU - Khan, Mohammad Faisal

AU - Goswami, Anjali

PY - 2022/11

Y1 - 2022/11

N2 - This paper considers the basic concepts of q-calculus and the principle of subordination. We define a new subclass of q-starlike functions related to the Salagean q-differential operator. For this class, we investigate initial coefficient estimates, Hankel determinants, Toeplitz matrices, and Fekete-Szegö problem. Moreover, we consider the q-Bernardi integral operator to discuss some applications in the form of some results.

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

KW - Hankel determinants

KW - Toeplitz matrices

KW - analytic functions

KW - q-derivative operator

KW - q-starlike functions

KW - quantum calculus

KW - salagean q-differential operator

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ER -

Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions

Abstract

Keywords

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