Subclass of m-quasiconformal harmonic functions in association with Janowski starlike functions
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Dosyalar
Tarih
2018-02-15
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Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let's take f(z) = h (z) + <(g(z))over bar> which is an univalent sense-preserving harmonic functions in open unit disc D = {z : vertical bar z vertical bar < 1}. If f (z) fulfills vertical bar w(z)vertical bar = |g'(z)/h'(z)vertical bar < m, where 0 <= m < 1, then f(z) is known m-quasiconformal harmonic function in the unit disc (Kalaj, 2010) [8]. This class is represented by S-H(m).The goal of this study is to introduce certain features of the solution for non- linear partial differential equation <(f)over bar>((z) over bar) = w(z)f(z) when vertical bar w(z)vertical bar < m, w(z) (sic) m(2)(b(1)-z)/m(2)-b(1)z, h(z) is an element of S*(A, B). In such case S*(A, B) is known to be the class for Janowski starlike functions. We will investigate growth theorems, distortion theorems, jacobian bounds and coefficient ineqaulities, convex combination and convolution properties for this subclass.
Açıklama
Anahtar Kelimeler
Starlike functions, Harmonic mapping, Distortion theorem, Growth theorem, Convex combination, Convolution properties, Mappings, Convex, Map, Harmonic, Convolution, Functions, Harmonic analysis, 30C45, Convex combinations, Distortion theorems, Harmonic mappings, Harmonic functions
Kaynak
Applied Mathematics And Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
319
Sayı
Künye
Sakar, F. M. & Aydoğan, S. M. (2018). Subclass of m-quasiconformal harmonic functions in association with janowski starlike functions. Applied Mathematics and Computation, 319, 461-468. doi:10.1016/j.amc.2017.05.013