Radius type inequalities of certain harmonic univalent mappings and their partial sums

Authors

  • Akash Meher Department of Mathematics, Sambalpur University, Sambalpur, Odisha, India
  • Priyabrat Gochhayat Department of Mathematics, Sambalpur University, Sambalpur, Odisha, India

DOI:

https://doi.org/10.3842/umzh.v78i7-8.9551

Keywords:

Bohr radius,, Bohr-Rogosinski radius, Improved Bohr radius, Area bounds, Partial sum, Convexity

Abstract

UDC 517.546, 517.57

We study a subclass of harmonic univalent mappings defined by a differential inequality and denoted by $\mathcal{R}_{H}^{0}(\gamma,\delta,\lambda).$ This subclass was introduced in the paper [S. Çakmak, E. Yaşar, S. Yalçin, Hacet. J. Math. Stat., 51, № 1, 172–186 (2022)]. We determine the Bohr and Bohr–Rogosinski radii for this family. Sufficient conditions for the invariance of the partial sums of the function class $\mathcal{R}_{H}^{0}(\gamma,\delta,\lambda)$ are presented. In addition, we compute the radius of convexity for the sections of members of the family.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 7-8, 2026.

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Published

24.07.2026

Issue

Vol. 78 No. 7-8 (2026)

Section

Research articles