Some results on a subclass of harmonic mappings of order alpha

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Küçük Resim

Tarih

2014

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Işık University Press

Erişim Hakkı

info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivs 3.0 United States

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z)| h(z) = z + ?? n=2 anz?, g(z) = b1z + ?? n=2 bnz?, b1 < 1 } where h(z) and g(z) are analytic. Additionally f(z) ? SH(?) ? | zh? (z) ? zg?(z) h(z) + g(z) ? 1 ? b1 1 + b1| < | 1 ? b1 1 + b1| ? ?, z ? U, 0 ? ? < 1 ? b1 1 + b1 In the present work, by considering the analyticity of the functions defined by R. M. Robinson [7], we discuss the applications to the harmonic mappings.

Açıklama

Anahtar Kelimeler

Harmonic mappings, Subordination principle, Distortion theorem

Kaynak

TWMS Journal of Applied and Engineering Mathematics

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

4

Sayı

1

Künye

Varol, D., Aydoğan, S. M. & Owa, S. (2014). Some results on a subclass of harmonic mappings of order alpha. TWMS Journal of Applied and Engineering Mathematics, 4(1), 104-109.