Bounds for Certain Determinants of Logarithmic Coefficients for the Class of Functions with Bounded Turning

Authors

  • Nur Hazwani Aqilah Abdul Wahid School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia https://orcid.org/0000-0002-1830-9482
  • Ilya Qursiah Amirnuddin School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia
  • Nurul Izzah Mohammad Azmi School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5374

Keywords:

univalent functions, bounded turning functions, logarithmic coefficients, Hankel determinant, Toeplitz determinant, Vandermonde determinant

Abstract

This paper aims to estimate the logarithmic coefficients for the class of functions with bounded turning. Hence, the upper bounds of the second-order for three types of determinants (Hankel, Toeplitz, and Vandermonde) whose entries are logarithmic coefficients for this class of functions are obtained. Some interesting consequences of these results are also highlighted, offering new findings within the class of functions with bounded turning.

Downloads

Published

2024-10-31

Issue

Vol. 17 No. 4: (October 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 Nur Hazwani Aqilah Abdul Wahid, Ilya Qursiah Amirnuddin, Nurul Izzah Mohammad Azmi

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

Bounds for Certain Determinants of Logarithmic Coefficients for the Class of Functions with Bounded Turning. (2024). European Journal of Pure and Applied Mathematics, 17(4), 2738-2752. https://doi.org/10.29020/nybg.ejpam.v17i4.5374