Harmonic mappings related to the m-fold starlike functions

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Tarih

2015-09-15

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Yayıncı

Elsevier Science Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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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