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#### Growth and distortion theorems for multivalent Janowski close-to-convex harmonic functions with shear construction method

(Scientific Technical Research Council Turkey-Tubitak, Ataturk Bulvarı No 221, Kavaklıdere, Tr-06100 Ankara, Turkey, 2013)

In this paper we introduce the class of m-valent Janowski close to convex harmonic functions. Growth and distortion theorems are obtained for this class.
Our study is based on the harmonic shear methods for harmonic functions.

#### An investigation on a new class of harmonic mappings

(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2013)

In the present paper, we give an extension of the idea which was introduced by Sakaguchi (J. Math. Soc. Jpn. 11:72-75, 1959), and we give some applications of this extended idea for the investigation of the class of harmonic ...

#### Harmonic Function For Which The Second Dilatation is Alpha-Spiral

(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2012)

Let f = h + (g) over bar be a harmonic function in the unit disc . We will give some properties of f under the condition the second dilatation is alpha-spiral

#### Some properties of starlike harmonic mappings

(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2012)

A fundamental result of this paper shows that the transformation
F=az(h(z+a/1+(a) over barz) + /(h(a) + <(g(a))over bar>(z + a) (1 + (a) over barz)
defines a function in S0 HS* whenever f = h( z) + g( z) is S0 HS*, ...

#### Some distortion theorems for starlike log-harmonic functions

(International Short Joint Research Workshop, Applications of Convolutions in Geometric Function Theory, 2011, Research Institute for Mathematical Sciences, Kyoto University (RIMS), Kyoto, Japan, RIMS Kokyuroku, 2011-12)

#### Quasiconformal Harmonic Mappings Related To Starlike Functions

(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 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 = ...

#### Quasiconformal Harmonic Mappings Related to Janowski Starlike Functions

(Univ Kebangsaan Malaysia, Faculty Science & Technology, Bangi, Selangor, 43600, Malaysia, 2014-12)

Let f(z) = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar omega(z)vertical ...

#### Some Inequalities Which Hold For Starlike Log-Harmonic Mappings Of Order Alpha

(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2014-04)

Let H(D) be the linear space of all analytic functions defined on the open disc D = {z vertical bar vertical bar z vertical bar < 1}. A log-harmonic mappings is a solution of the nonlinear elliptic partial differential ...

#### Harmonic mappings for which second dilatation is Janowski functions

(2013)

In the present paper we extend the fundamental property that if
h(z) and g(z) are regular functions in the open unit disc D with the
properties h(0) = g(0) = 0, h maps D onto many-sheeted region which
is starlike with ...

#### Some properties of q- close-to-convex functions

(2017)

Quantum calculus had been used first time by M.E.H.Ismail, E.Merkes
and D.Steyr in the theory of univalent functions [5].
In this present paper we examine the subclass of univalent functions
which is defined by quantum ...