Sharp Results for a New Class of Analytic Functions Associated with the q-Differential Operator and the Symmetric Balloon-Shaped Domain

Adeel Ahmad; Jianhua Gong; Akhter Rasheed; Saqib Hussain; Asad Ali; Zeinebou Cheikh

doi:10.3390/sym16091134

Sharp Results for a New Class of Analytic Functions Associated with the q-Differential Operator and the Symmetric Balloon-Shaped Domain

Adeel Ahmad
, Jianhua Gong
, Akhter Rasheed
, Saqib Hussain
, Asad Ali
, Zeinebou Cheikh

Department of Mathematical Sciences

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

4 Citations (Scopus)

Abstract

In our current study, we apply differential subordination and quantum calculus to introduce and investigate a new class of analytic functions associated with the q-differential operator and the symmetric balloon-shaped domain. We obtain sharp results concerning the Maclaurin coefficients the second and third-order Hankel determinants, the Zalcman conjecture, and its generalized conjecture for this newly defined class of q-starlike functions with respect to symmetric points.

Original language	English
Article number	1134
Journal	Symmetry
Volume	16
Issue number	9
DOIs	https://doi.org/10.3390/sym16091134
Publication status	Published - Sept 2024

Keywords

Hankel determinant
Zalcman conjecture
analytic function
balloon-shaped symmetric domain
differential subordination
q-starlike function
symmetric points

ASJC Scopus subject areas

Computer Science (miscellaneous)
Chemistry (miscellaneous)
General Mathematics
Physics and Astronomy (miscellaneous)

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10.3390/sym16091134

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abstract = "In our current study, we apply differential subordination and quantum calculus to introduce and investigate a new class of analytic functions associated with the q-differential operator and the symmetric balloon-shaped domain. We obtain sharp results concerning the Maclaurin coefficients the second and third-order Hankel determinants, the Zalcman conjecture, and its generalized conjecture for this newly defined class of q-starlike functions with respect to symmetric points.",

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AU - Ahmad, Adeel

AU - Gong, Jianhua

AU - Rasheed, Akhter

AU - Hussain, Saqib

AU - Ali, Asad

AU - Cheikh, Zeinebou

PY - 2024/9

Y1 - 2024/9

N2 - In our current study, we apply differential subordination and quantum calculus to introduce and investigate a new class of analytic functions associated with the q-differential operator and the symmetric balloon-shaped domain. We obtain sharp results concerning the Maclaurin coefficients the second and third-order Hankel determinants, the Zalcman conjecture, and its generalized conjecture for this newly defined class of q-starlike functions with respect to symmetric points.

AB - In our current study, we apply differential subordination and quantum calculus to introduce and investigate a new class of analytic functions associated with the q-differential operator and the symmetric balloon-shaped domain. We obtain sharp results concerning the Maclaurin coefficients the second and third-order Hankel determinants, the Zalcman conjecture, and its generalized conjecture for this newly defined class of q-starlike functions with respect to symmetric points.

KW - Hankel determinant

KW - Zalcman conjecture

KW - analytic function

KW - balloon-shaped symmetric domain

KW - differential subordination

KW - q-starlike function

KW - symmetric points

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UR - https://www.scopus.com/pages/publications/85205127826#tab=citedBy

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JO - Symmetry

JF - Symmetry

IS - 9

M1 - 1134

ER -

Sharp Results for a New Class of Analytic Functions Associated with the q-Differential Operator and the Symmetric Balloon-Shaped Domain

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Keywords

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