Subclass of m-quasiconformal harmonic functions in association with Janowski starlike functions

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Tarih

2018-02-15

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Elsevier Science Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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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