Hankel Determinants of 2-fold and 3-fold Symmmetric functions and Zalcaman Functional for Novel Subclasses of Analytic Functions

Authors

  • Bushra Kanwal Fatima Jinnah Women University The Mall Rawalpindi
  • Mohammed Ali Alamri Department of Mathematics and Sciences, Dhofar University, Oman;
  • Alhanouf Alburaikan Department of Mathematics, College of Science, Qassim University Buraydah 51452, Saudi Arabia;
  • Safa Ikhlaq Abbasi Fatima Jinnah Women University The Mall Rawalpindi https://orcid.org/0009-0006-6688-4533
  • Fethiye Muge Sakar Department of Management, Dicle University, Diyarbakır, 21280, Turkiye
  • Saqib Hussain Department of Mathematics, COMSATS University Islamabad (Abbottabad Campus), Abbottabad, Pakistan,

DOI:

https://doi.org/10.29020/nybg.ejpam.v19i2.7094

Keywords:

Symmetric functions

Abstract

This study focuses on certain subclasses of analytic functions connected with strongly Janowski-type functions that transform the open unit disc onto different circular symmetric domains. Sharp estimates for Hankel determinants of both 2-fold and 3-fold symmetric functions and exact Zalcman functional results are established for certain subclasses of analytic functions, refining earlier results and providing valuable insights into their underlying structure. The outcomes enrich existing knowledge and refine earlier results.

References

Downloads

Published

2026-07-28

Issue

Vol. 19 No. 2: (April 2026)

Section

Complex Analysis

License

Copyright (c) 2026 Bushra Kanwal, Mohammed Ali Alamri, Alhanouf Alburaikan, Safa Ikhlaq Abbasi, Fethiye Muge Sakar, Saqib Hussain

Creative Commons License

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

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Hankel Determinants of 2-fold and 3-fold Symmmetric functions and Zalcaman Functional for Novel Subclasses of Analytic Functions. (2026). European Journal of Pure and Applied Mathematics, 19(2), 7094. https://doi.org/10.29020/nybg.ejpam.v19i2.7094