Hankel and Toeplitz Determinants of Logarithmic Coefficients of Inverse Functions for the Subclass of Starlike Functions with Respect to Symmetric Conjugate Points

Authors

  • Nur Hazwani Aqilah Abdul Wahid School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia
  • Adawiyah Tumiran School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia
  • Timilehin Gideon Shaba Department of Mathematics, Landmark University, Omu-Aran 251103, Nigeria

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i3.5250

Keywords:

univalent functions, starlike functions, symmetric conjugate points, exponential function, inverse functions, coefficient estimates, logarithmic inverse coefficients, Hankel determinant, Toeplitz determinant, subordination

Abstract

This paper focuses on finding the upper bounds of the second Hankel and Toeplitz determinants, whose entries are logarithmic coefficients of inverse functions for a new subclass of starlike functions with respect to symmetric conjugate points associated with the exponential function defined by subordination. Results on initial Taylor coefficients and logarithmic coefficients of inverse functions for a new subclass are also presented. This study may inspire others to focus further to the coefficient functional problems associated with the inverse functions of various classes of univalent functions.

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Published

2024-07-31

Issue

Vol. 17 No. 3: (July 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 European Journal of Pure and Applied Mathematics

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How to Cite

Hankel and Toeplitz Determinants of Logarithmic Coefficients of Inverse Functions for the Subclass of Starlike Functions with Respect to Symmetric Conjugate Points. (2024). European Journal of Pure and Applied Mathematics, 17(3), 1818-1830. https://doi.org/10.29020/nybg.ejpam.v17i3.5250