Some properties of starlike harmonic mappings

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Aydoğan S. M., Yemisci A., Polatog̃lu Y.

Journal of Inequalities and Applications, cilt.2012, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2012
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1186/1029-242x-2012-163
  • Dergi Adı: Journal of Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: distortion theorem, growth theorem, harmonic starlike function
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

A fundamental result of this paper shows that the transformation F=az(h(z+a/1+āz) + g(̄z+a/1+āz))/(h(a)+ ̄g(a)) (z+a)(1+āz) defines a function in SHS*0 whenever f=h(z)+̄g(z) is SHS*0, and we will give an application of this fundamental result.MSC: 30C45, 30C55. © 2012 Aydog̃an et al.; licensee Springer.