Harmonic mappings related to the m-fold starlike functions
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Dosyalar
Tarih
2015-09-15
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper we will give some properties of the subclass of harmonic mappings which is related to m-fold starlike functions in the open unit disc D = {z parallel to z vertical bar < 1}. Throughout this paper we restrict ourselves to the study of sense-preserving harmonic mappings. We also note that an elegant and complete treatment theory of the harmonic mapping is given in Durens monograph (Duren, 1983). The main aim of us to investigate some properties of the new class of us which represented as in the following form, S*H(m) = {f = h(z) + <(g(z))over bar>vertical bar f is an element of SH(m), g'(z)/h'(z) < b(1)p(z), h(z) is an element of S*(m), p(z) is an element of P-(m)}, where h(z) = z + Sigma(infinity)(n-1) a(mn+1)z(mn+1), g(z) = Sigma(infinity)(n-0) b(mn+1)z(mn+1), vertical bar b(1)vertical bar < 1.
Açıklama
Anahtar Kelimeler
M-fold starlike functions, Distortion theorem, Growth theorem, Analytic function, Subordination, Multivalent functions, Functions, Harmonic analysis, Mapping, Harmonic mappings, Starlike functions, Unit disc, Distortion theorems, Harmonic functions
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
267
Sayı
Künye
Aydoğan, S. M., Polatoğlu, Y. & Kahramaner, Y. (2015;2014;). Harmonic mappings related to the m-fold starlike functions. Applied Mathematics and Computation, 267, 805-809. doi:10.1016/j.amc.2014.10.016
