On certain geometric properties and Hardy spaces of generalized Bessel–Wright function

Authors

  • M. U. Nawaz Department of Mathematics, Government College University Faisalabad, Faisalabad, Pakistan
  • Mohsan Raza Department of Mathematics, Government College University Faisalabad, Faisalabad, Pakistan
  • K. Mehrez Department of Mathematics, Kairouan Preparatory Institute for Engineering Studies, University of Kairouan, Kairouan, Tunisia

DOI:

https://doi.org/10.3842/umzh.v78i1-2.9233

Keywords:

Generalized Bessel-Wright, gamma function, starlike functions, convex functions, prestarlike functions, strongly starlike functions, strongly convex functions, Hardy spaces

Abstract

UDC 517.53, 517.58

The main objective of the present research is to examine a specific sufficiency criterion for the pre-starlikeness, strong starlikeness, strong convexity, starlikeness, and convexity of the generalized Bessel–Wright function. Furthermore, we determine the conditions for the generalized Bessel–Wright functions to be included in the Hardy spaces, as well as bounded analytic functions. These applications are given in the form of examples and corollaries.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 1-2, 2026.

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Published

26.01.2026

Issue

Vol. 78 No. 1-2 (2026)

Section

Research articles

License

Copyright (c) 2026 M. U. Nawaz, Mohsan Raza, K. Mehrez

Creative Commons License

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

How to Cite

Nawaz, Muhammad Umar, et al. “On Certain Geometric Properties and Hardy Spaces of Generalized Bessel–Wright Function”. Ukrains’kyi Matematychnyi Zhurnal, vol. 78, no. 1-2, Jan. 2026, pp. 86–87, https://doi.org/10.3842/umzh.v78i1-2.9233.