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Now showing items 1-10 of 14

#### 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 mappinggs for which co-analytic part is a close-to-convex function of order b

(2015)

In the present paper we investigate a class of harmonic mappings for which the
second dilatation is a close-to-convex function of complex order b, b ∈ C/{0} (Lashin
in Indian J. Pure Appl. Math. 34(7):1101-1108, 2003).

#### Some results of the class functions with bounded radious rotation

(2017)

Let A be the family of functions f(z) = z + a2z
2 + ... which are
analytic in the open unit disc D = {z : |z| < 1}, and denote by P of
functions p(z) = z + p1z + p2z
2 + ... analytic in D such that p(z) is in
P if and ...

#### 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 of convex and starlike
functions, ...

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

(Elsevier Science Inc, 360 Park Ave South, New York, Ny 10010-1710 Usa, 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 ...

#### 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 ...

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

(2013-01)

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 ...

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

(Elsevier Science Inc, 360 Park Ave South, New York, Ny 10010-1710 Usa, 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 ...

#### On a subclass of harmonic mappings

(2013)

In the present paper we extent 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(z) maps D onto λ-spiral region and Ren
e
iλ ...

#### Janowski harmonic close-to-convex functions

(2014-01)

A harmonic mapping in the open unit disc D{double-struck} = {z||z| < 1} onto domain Ω* ⊂ ℂ is a complex valued harmonic function w = f(z) which maps D{double-struck} univalently Ω*. Each such mapping has a canonical ...