Some results on a subclass of harmonic mappings of order alpha
Yükleniyor...
Dosyalar
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
Attribution-NonCommercial-NoDerivs 3.0 United States
Özet
Let S-H be the class of harmonic mappings defined by S-H - {f - h(z) + <(g(z))over bar> vertical bar h(z) - z + Sigma(infinity)(n=2)a(n)z(n) , g(z) - b(1)z + Sigma(infinity)(n=2) b(n)z(n), b(1) < 1} where h(z) and g(z) are analytic. Additionally f(z) is an element of S-H(alpha) double left right arrow vertical bar zh'(z) - <(zg'(z))over bar>/h(z) + <(g(z))over bar> - 1-(b(1)) over bar /1+(b(1)) over bar vertical bar < vertical bar 1 - <(b(1))over bar>/1 + (b(1)) over bar vertical bar - alpha, z is an element of u, 0 <= alpha < 1 - <(b(1))over bar>/1 + (b(1)) over bar 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.
