SHARP BOUNDS ON HANKEL DETERMINANTS FOR CERTAIN SUBCLASS OF STARLIKE FUNCTIONS

Zhi-Gang Wang; Muhammad Arif; Zhi-Hong Liu; Saira Zainab; Rabia Fayyaz; Muhammad Ihsan; Meshal Shutaywi

doi:10.11948/20220180

2023 Volume 13 Issue 2

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Article navigation > Journal of Applied Analysis & Computation > 2023 > 13(2): 860-873

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Zhi-Gang Wang, Muhammad Arif, Zhi-Hong Liu, Saira Zainab, Rabia Fayyaz, Muhammad Ihsan, Meshal Shutaywi. SHARP BOUNDS ON HANKEL DETERMINANTS FOR CERTAIN SUBCLASS OF STARLIKE FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(2): 860-873. doi: 10.11948/20220180

Citation:

Zhi-Gang Wang, Muhammad Arif, Zhi-Hong Liu, Saira Zainab, Rabia Fayyaz, Muhammad Ihsan, Meshal Shutaywi. SHARP BOUNDS ON HANKEL DETERMINANTS FOR CERTAIN SUBCLASS OF STARLIKE FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(2): 860-873. doi: 10.11948/20220180

SHARP BOUNDS ON HANKEL DETERMINANTS FOR CERTAIN SUBCLASS OF STARLIKE FUNCTIONS

1.
School of Mathematics and Statistics, Hunan First Normal University, Changsha 410205, Hunan, China
2.
Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
3.
College of Science, Guilin University of Technology, Guilin 541006, Guangxi, China
4.
School of Electrical Engineering and Compluter Science (SEECS), National University of Science and Technology, Islamabad, Pakistan
5.
Comsats University Islamabad, Islamabad, Pakistan
6.
Department of Mathematics, College of Science and Arts, King Abdulaziz University, P.O. Box 344, Rabigh 21911, Saudi Arabia

Corresponding author: Email: liuzhihongmath@163.com (Z.-H. Liu)
Fund Project: The present investigation was supported by the National Natural Science Foundation (No. 11961013), the Natural Science Foundation of Hunan Province (No. 2022JJ30185), and the Key Project of Education Department of Hunan Province (No. 19A097)

Abstract

Abstract

The main objective of this paper is to study coefficient problems for starlike functions located in the petal shaped domain. The bounds of the first three initial coefficients, bounds of Fekete-Szegö type inequality, estimates of the second and third Hankel determinants for the subclass of starlike functions are derived, all of these bounds are sharp.
- Starlike function /
- petal shaped domain /
- Hankel determinant
MSC: 30C45, 30C50

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References

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