Radii results of convex combinations and convolutions of generalized univalent harmonic mappings

Çetinkaya A., Mishra O.

Filomat, vol.40, no.8, pp.2787-2800, 2026 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 8
  • Publication Date: 2026
  • Doi Number: 10.2298/fil2608787c
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.2787-2800
  • Keywords: convex combination, convolution, fully convexity, fully starlikeness, shear construction, Univalent harmonic mappings
  • Istanbul Kültür University Affiliated: Yes

Abstract

In this article, we introduce the generalized harmonic Koebe function and find its coefficient bounds. We obtain radii of fully starlikeness and convexity for convex combinations two generalized univalent harmonic mappings. We also obtain radii of fully starlikeness and convexity for convolutions of two generalized univalent harmonic mappings.