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  • 1- Fakülteler | Faculties
  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
  • Matematik Bölümü / Department of Mathematics
  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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Subclass of m-quasiconformal harmonic functions in association with Janowski starlike functions

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Date

2018-02-15

Author

Sakar, Fethiye Müge
Aydoğan, Seher Melike

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Citation

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

Abstract

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.

Source

Applied Mathematics And Computation

Volume

319

URI

https://hdl.handle.net/11729/1299
http://dx.doi.org/10.1016/j.amc.2017.05.013

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [217]
  • Scopus İndeksli Makale Koleksiyonu [915]
  • WoS İndeksli Makale Koleksiyonu [929]

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