Subclass of m-quasiconformal harmonic functions in association with Janowski starlike functions
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.2017.05.013Özet
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.
Kaynak
Applied Mathematics And ComputationCilt
319Koleksiyonlar
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