Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality

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Yaşar E., Yalçın Tokgöz S.

TURKISH JOURNAL OF MATHEMATICS, cilt.45, sa.2, ss.678-694, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3906/mat-2004-50
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.678-694
  • Anahtar Kelimeler: Harmonic, univalent, close-to-convex, hypergeometric function
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we consider a class of normalized harmonic functions in the unit disk satisfying a third-order differential inequality and we investigate several properties of this class such as close-to-convexity, coefficient bounds, growth estimates, sufficient coefficient condition, and convolution. Moreover, as an application, we construct harmonic polynomials involving Gaussian hypergeometric function which belong to the considered class. We also provide examples illustrating graphically with the help of Maple.