Study of Second-Order Hankel Determinants for Convex Functions with Symmetric Points Related to Exponential Function

Huo Tang; Khalil  Ullah; Muhammad  Arif; Ferdous M. O.  Tawfiq; Sarfraz Nawaz  Malik

doi:10.62270/jirmcs.v2i2.22

Study of Second-Order Hankel Determinants for Convex Functions with Symmetric Points Related to Exponential Function

Authors

Huo Tang School of Mathematics and Computer Sciences, Chifeng University, Chifeng, China
Khalil Ullah Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Pakistan.
Muhammad Arif Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Pakistan. https://orcid.org/0000-0003-1484-7643
Ferdous M. O. Tawfiq Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia https://orcid.org/0000-0003-1655-5185
Sarfraz Nawaz Malik Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt, Pakistan https://orcid.org/0000-0001-8940-0569

DOI:

https://doi.org/10.62270/jirmcs.v2i2.22

Keywords:

Convex functions with symmetric points, Coefficient problems, Zalcman functionals, Hankel determinant problems, Logarithmic Coefficient, Inverse Coefficient

Abstract

This work aims to introduce and study a class of convex functions with symmetric points associated with exponential functions. The problems under consideration are the first four sharp coefficient bounds, the Fekete-Szegö functional, and the second Hankel determinant. It also includes similar investigations for inverse and logarithmic functions of convex functions with symmetric points associated with exponential functions.

Downloads

Published

2023-12-30

Issue

Vol. 2 No. 2 (2023): July-December

Section

Articles

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgment of the work’s authorship and initial publication in this journal.

How to Cite

[1]

H. Tang, K. Ullah, M. Arif, F. M. O. Tawfiq, and S. N. Malik, “Study of Second-Order Hankel Determinants for Convex Functions with Symmetric Points Related to Exponential Function”, jirmcs, vol. 2, no. 2, pp. 65–80, Dec. 2023, doi: 10.62270/jirmcs.v2i2.22.