Hermitian–Toeplitz and Hankel determinants for Sakaguchi-type functions defined by a rational function

Authors

  • Mucahit Buyankara Vocational School of Social Sciences, Bingöl University, Turkey
  • Murat Çağlar Department of Mathematics, Faculty of Science, Erzurum Technical University, Turkey

DOI:

https://doi.org/10.3842/umzh.v77i6.8575

Keywords:

Analytic functions, Univalent functions, Hankel determinants, Hermitian-Toeplitz determinants,, rational functions

Abstract

UDC 517.5

We obtain the best possible estimates for the Hermitian–Toeplitz determinant of the third order for a class of starlike functions with respect to a symmetric point associated with a rational function. In addition, we determine the upper bounds for the third Hankel determinants.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 6, 2025.

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Published

01.08.2025

Issue

Vol. 77 No. 6 (2025)

Section

Research articles

License

Copyright (c) 2025 Mucahit Buyankara, Murat Çağlar

Creative Commons License

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

How to Cite

Buyankara, Mucahit, and Murat Çağlar. “Hermitian–Toeplitz and Hankel Determinants for Sakaguchi-Type Functions Defined by a Rational Function”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 6, Aug. 2025, pp. 443–444, https://doi.org/10.3842/umzh.v77i6.8575.