Certain Coefficient Problems for q-Starlike Functions Associated with q-Analogue of Sine Function-Reference-Cited by-同舟云学术

Certain Coefficient Problems for q-Starlike Functions Associated with q-Analogue of Sine Function

Published:2022-10-19 Issue:10 Volume:14 Page:2200
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Taj Yusra^ORCID,Zainab Saira^ORCID,Xin Qin^ORCID,Tawfiq Ferdous M. O.,Raza Mohsan^ORCID,Malik Sarfraz Nawaz^ORCID

Abstract

This study introduces a subclass Sqs* of starlike functions associated with the q-analogue of the sine function defined in symmetric unit disk. This article comprises the investigation of sharp coefficient bounds, and the upper bound of the third-order Hankel determinant for this class. It also includes the findings of Zalcman and generalized Zalcman conjectures for functions of this class.

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2073-8994/14/10/2200/pdf

Reference47 articles.

1. Eine bemerkung uber ungerade schlichten funktionene;Fekete;J. Lond. Math. Soc.,1993

2. On the Hankel determinants of univalent functions

3. On Starlike and Close-to-Convex Functions

4. On the Hankel Determinants of Areally Mean p -Valent Functions

5. On a generalization of close-to-convexity

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Sharp Results for a New Class of Analytic Functions Associated with the q-Differential Operator and the Symmetric Balloon-Shaped Domain;Symmetry;2024-09-02

2. Second Hankel Determinant and Fekete–Szegö Problem for a New Class of Bi-Univalent Functions Involving Euler Polynomials;Symmetry;2024-04-28

3. On Coefficient Inequalities of Starlike Functions Related to the q-Analog of Cosine Functions Defined by the Fractional q-Differential Operator;Fractal and Fractional;2023-10-26

4. Fekete–Szegö Problem and Second Hankel Determinant for a Class of Bi-Univalent Functions Involving Euler Polynomials;Fractal and Fractional;2023-03-29

5. Sharp Coefficient Bounds for a New Subclass of q-Starlike Functions Associated with q-Analogue of the Hyperbolic Tangent Function;Symmetry;2023-03-20