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Now showing items 11-20 of 22

#### 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}.

#### Notes on starlike log-harmonic functions of order α

(2013)

For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(?) and G*LH(?) of S*LH(?) consisting of all starlike log-harmonic functions of order ? (0 ? ? < 1) are considered. The object of ...

#### Harmonic mappings related to Janowski convex functions of complex order b

(2013)

Let SH be the class of all sense-preserving harmonic mappings in the open unit disc D = {z ∈ ℂ||z| < 1}. In the present paper the authors investigate the properties of the class of harmonic mappings which is based on the ...

#### Close-to-convex functions defined by fractional operator

(2013)

Let S denote the class of functions f(z) = z + a2z2+... analytic and univalent in the open unit disc D = {z ∈ C||z|<1}. Consider the subclass and S* of S, which are the classes ofconvex and starlike functions, respectively. ...

#### Harmonic mappings related to starlike function of complex order α

(Işık University Press, 2014)

Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z) | h(z) = z + ∑∞ n=2 anzⁿ, g(z) = ∑∞ n=1 bnzⁿ} The purpose of this talk is to present some results about harmonic mappings which was introduced by ...

#### Some results on a subclass of harmonic mappings of order alpha

(Işık University Press, 2014)

Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z)| h(z) = z + ∑∞ n=2 anzⁿ, g(z) = b1z + ∑∞ n=2 bnzⁿ, b1 < 1 } where h(z) and g(z) are analytic. Additionally f(z) ∈ SH(α) ⇔ | zh′ (z) − zg′(z) h(z) ...

#### Some properties concerning close-to-convexity of certain analytic functions

(Springer International Publishing AG, 2012)

Let f(z) be an analytic function in the open unit disk D normalized with f(0) = 0 and f'(0) = 1. With the help of subordinations, for convex functions f(z) in D, the order of close-to-convexity for f(z) is discussed with ...

#### Harmonic function for which the second dilatation is α-spiral

(Springer International Publishing AG, 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.

#### 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).