Subclass of mquasiconformal harmonic functions in association with Janowski starlike functions
Citation
Sakar, F. M. & Aydoğan, S. M. (2018). Subclass of mquasiconformal harmonic functions in association with janowski starlike functions. Applied Mathematics and Computation, 319, 461468. doi:10.1016/j.amc.2017.05.013Abstract
Let's take f(z) = h (z) + <(g(z))over bar> which is an univalent sensepreserving 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 mquasiconformal harmonic function in the unit disc (Kalaj, 2010) [8]. This class is represented by SH(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.
Source
Applied Mathematics And ComputationVolume
319Collections
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