Sufficient conditions for starlikeness related to a hyperbolic cosine function

Authors

  • S. Sivaprasad Kumar Department of Applied Mathematics, Delhi Technological University, Shahbad Daulatpur, Delhi, India
  • Mridula Mundalia Department of Applied Mathematics, Delhi Technological University, Shahbad Daulatpur, Delhi, India

DOI:

https://doi.org/10.3842/umzh.v77i2.8382

Keywords:

Univalent functions; Starlike functions; Differential subordination; Briot-Bouquet differential subordination; Hyperbolic cosine function

Abstract

UDC 517.5

We determine sufficient conditions for functions to be in the class $\mathcal{S}^{*}_{\varrho}$ formed by starlike functions related to $\cosh \sqrt{z}$ by using the Briot–Bouquet and other differential subordination techniques. Additionally, in order to ensure the sharpness of our results, we include graphical validations and appropriate illustrations.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 2, 2025.

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Published

04.11.2025

Issue

Vol. 77 No. 2 (2025)

Section

Research articles

License

Copyright (c) 2025 S. Sivaprasad Kumar, Mridula Mundalia

Creative Commons License

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

How to Cite

Kumar, S. Sivaprasad, and Mridula Mundalia. “Sufficient Conditions for Starlikeness Related to a Hyperbolic Cosine Function”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 2, Nov. 2025, pp. 159–160, https://doi.org/10.3842/umzh.v77i2.8382.