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

Çetinkaya A., Mishra O.

Filomat, cilt.40, sa.8, ss.2787-2800, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 8
  • Basım Tarihi: 2026
  • Doi Numarası: 10.2298/fil2608787c
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.2787-2800
  • Anahtar Kelimeler: convex combination, convolution, fully convexity, fully starlikeness, shear construction, Univalent harmonic mappings
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

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.