Chronological Analysis of the Development of the Fourth Hankel Determinant in Analytic Function Classes

Authors

  • Bassim K. Mihsin General Directorate of Education in Karbala .Iraq.
  • Zainab H. Mahmood Department of Mathematics; College of Science ; University of Baghdad; Baghdad ,Iraq.
  • Reem O. Rasheed Department of Mathematics; College of Education for Pure Sciences, Kirkuk University, Iraq.
  • Waggas Galib Atshan Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniyah, Iraq.

DOI:

https://doi.org/10.29304/jqcsm.2025.17.42625

Keywords:

subordination function

Abstract

In the geometric study of analytic functions with a single derivative, the fourth Hankel determinant, H₄(1), is essential. This article provides a systematic overview of the historical and current evolution of research on H₄(1), beginning with basic studies, moving on to more complex methods involving symmetry and subordination, and ending with current applications utilising special polynomials like Chebyshev within extended subclasses

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Published

2025-12-30

How to Cite

Mihsin, B. K., Mahmood, Z. H., Rasheed, R. O., & Atshan, W. G. (2025). Chronological Analysis of the Development of the Fourth Hankel Determinant in Analytic Function Classes. Journal of Al-Qadisiyah for Computer Science and Mathematics, 17(4), Math 70–77. https://doi.org/10.29304/jqcsm.2025.17.42625

Issue

Vol. 17 No. 4 (2025): JQCM

Section

Math Articles

License

Copyright (c) 2025 Bassim K. Mihsin, Zainab H. Mahmood, Reem O. Rasheed, Waggas Galib Atshan

Creative Commons License

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

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