Convexity and monotonicity of analytic functions related to Le Roy-type hypergeometric functions

Authors

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

DOI:

https://doi.org/10.3842/umzh.v78i5-6.9392

Keywords:

Analytic functions, Convexity, Monotonicity, Le Roy-type hypergeometric function, Special functions, Geometric function theory.

Abstract

UDC 517.588, 517.54

We investigate the convexity and monotonicity properties for two classes of analytic functions related to the Le~Roy-type hypergeometric function. Numerical examples and graphical illustrations support our theoretical findings and motivate a proposed conjecture.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 5-6, 2026.

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Published

29.05.2026

Issue

Vol. 78 No. 5-6 (2026)

Section

Research articles