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