Coefficient inequalities for a subclass of bounded turning functions associated with a domain bounded by an epicycloid

Authors

  • E. K. Nithiyanandham Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, India https://orcid.org/0000-0002-8234-2295
  • B. Sruthakeerthi Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, India

DOI:

https://doi.org/10.3842/umzh.v77i7.8601

Keywords:

univalent function, bounded turning function, cusps, leaf domain, Hankel determinant

Abstract

UDC 517.5

We consider a subclass of bounded turning functions $\mathcal{BT}_{n-1,\mathcal{L}}$ associated with a domain bounded by an epicycloid with $n-1$ cusps. Our primary task is to examine some coefficient inequalities, as well as the second and third Hankel determinants for the newly defined class.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 7, 2025.

Downloads

Published

27.08.2025

Issue

Vol. 77 No. 7 (2025)

Section

Research articles

License

Copyright (c) 2025 E. K. Nithiyanandham, B. Sruthakeerthi

Creative Commons License

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

How to Cite

Nithiyanandham, E. K., and B. Sruthakeerthi. “Coefficient Inequalities for a Subclass of Bounded Turning Functions Associated With a Domain Bounded by an Epicycloid”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 7, Aug. 2025, pp. 493–494, https://doi.org/10.3842/umzh.v77i7.8601.