On geometric properties of the Ramanujan entire-type function and its Alexander transform

Authors

  • Khaled Mehrez Department of Mathematics, Preparatory Institute for Engineering Studies of Kairouan, Kairouan, Tunisia; Research Laboratory: Chemistry, Materials and Modeling, Preparatory Institute for Engineering Studies of Kairouan, Kairouan, Tunisia
  • Abdulaziz Alenazi Department of Mathematics, College of Science, Northern Border University, Arar, Saudi Arabia

DOI:

https://doi.org/10.3842/umzh.v78i9-10.9688

Keywords:

Ramanjuan entire functions, Analytic and univalent functions, Strongly starlike functions, Strongly convex functions, pre-starilkness functions

Abstract

UDC 517.54; 517.58

We study a class of analytic functions associated with the Ramanujan entire-type function and its Alexander transform. Sufficient conditions are derived for these functions to exhibit significant geometric properties in the open unit disk, such as strong starlikeness, strong convexity, and pre-starlikeness. The results obtained are believed to be new and are further supported by illustrative examples and related consequences.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 9-10, 2026.

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Published

19.09.2026

Issue

Vol. 78 No. 9-10 (2026)

Section

Research articles