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Now showing items 1-10 of 10

#### Quasiconformal harmonic mappings related to starlike functions

(Eudoxus Press, 2014-07)

Let f = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the unit disc D = {z is an element of C parallel to z vertical bar < 1}. If f satisfies the condition vertical bar w(z)vertical bar = ...

#### Harmonic mappings related to Janowski starlike functions

(Elsevier Science BV, 2014-11)

The main purpose of the present paper is to give the extent idea which was introduced by Robinson(1947) [6]. One of the interesting application of this extent idea is an investigation of the class of harmonic mappings ...

#### On the class of harmonic mappings which is related to the class of bounded boundary rotation

(Elsevier Science Inc, 2015-09-15)

The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero ...

#### A certain class of harmonic mappings related to functions of bounded boundary rotation

(Eudoxus Press, 2014-05)

Let V(k) be the class of functions with bounded boundary rotation and let S-H be the class of sense-preserving harmonic mappings. In the present paper we investigate a certain class of harmonic mappings related to the ...

#### Some results on a starlike log-harmonic mapping of order alpha

(Elsevier Science BV, 2014-01-15)

Let H(D) be the linear space of all analytic functions defined on the open unit disc D = z is an element of C : vertical bar z vertical bar < 1. A sense preserving log-harmonic mapping is the solution of the non-linear ...

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

(Elsevier Science Inc, 2018-02-15)

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 = ...

#### Harmonic mappings related to the m-fold starlike functions

(Elsevier Science Inc, 2015-09-15)

In the present paper we will give some properties of the subclass of harmonic mappings which is related to m-fold starlike functions in the open unit disc D = {z parallel to z vertical bar < 1}. Throughout this paper we ...

#### Notes on Harmonic Functions for which the second Dilatation is α - spiral

(Eudoxus Press, 2015-06)

In this study, we consider, f = h + (g) over bar harmonic functions in the unit disc D. By applying S. S. Miller and P. M. Mocanu result, we obtain a new subclass of harmonic functions, such as S-HPST*(alpha, beta) We ...

#### An investigation of the certain class of multivalent harmonic mappings

(Eudoxus Press, 2016-03)

The main purpose of the present paper is to investigate some properties of the certain class of sense-preserving p-valent harmonic mappings in the open unit disc D = {z is an element of C parallel to z vertical bar < 1}.

#### A certain class of starlike log-harmonic mappings

(Elsevier Science BV, 2014-11)

In this paper we investigate some properties of log-harmonic starlike mappings. For this aim we use the subordination principle or Lindelof Principle (Lewandowski (1961) [71).