Third order differential subordination associated with exponential function

Authors

  • V. Agnes Sagaya Judy Lavanya Dr. MGR Janaki College of Arts and Science, Chennai, TamilNadu, India
  • M. P. Jeyaraman Presidency College (Autonomous), Kamarajar Salai, Chennai, TamilNadu, India
  • M. P. Rajakumar St. Joseph's College of Engineering, OMR, Chennai, TamilNadu, India

DOI:

https://doi.org/10.3842/umzh.v77i10.8697

Keywords:

Analytic functions; Third order Differential Subordination; admissible function; exponenetial function; Univalent function;Bessel function; Struve function; Lommel function, confluent hy-pergeometric function.

Abstract

UDC 517.5

Using admissibilty conditions, we investigate some third-order differential subordination results with a superordinate function $q(z)=e^z$. As an application,  we obtain sufficient conditions for certain special functions to become exponential convex and exponential starlike. The derived second-order differential implications significantly generalize numerous results obtained in [A. Naz, S. Nagpal, V. Ravichandran, Mediterran.  J. Math., 17, № 204, 1–22 (2020)].

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 10, 2025.

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Published

30.09.2025

Issue

Vol. 77 No. 10 (2025)

Section

Research articles

License

Copyright (c) 2025 V. Agnes Sagaya Judy Lavanya, M. P. Jeyaraman, M. P. Rajakumar

Creative Commons License

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

How to Cite

Judy Lavanya, V. Agnes Sagaya, et al. “Third Order Differential Subordination Associated With Exponential Function”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 10, Sept. 2025, p. 643, https://doi.org/10.3842/umzh.v77i10.8697.