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Now showing items 1-10 of 21

#### 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 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 ...

#### lambda-fractional close-to-convex functions

(International Symposium on Geometric Function Theory and Applications, 2007, Istanbul Kültür University, Istanbul, Turkey, 2007)

#### 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)

#### Multivalued starlike functions of complex order

(2008)

Let S
∗
λ
(1−b)(b 6= 0, complex) denote the class of functions f(z) =
z+a2z
2+· · · analytic in the open unit disc D = {z ∈ C||z| < 1} which
satisfy for z = reiθ ∈ D,
f(z)
z
6= 0 and Re ·
1 + 1
b
µ
z
(Dλ
f ...

#### Some distortion theorems for starlike harmonic functions

(2010)

In this paper , we consider harmonic univalent mappings of the form f = h + ¯g defined on the unit disk D which are starlike. Distortion and growth theorems are obtained.

#### λ-fractional properties of generalized Janowski functions in the unit disc

(2008)

For analytic function f(z) = z + a2z
2 + · · · in the open unit disc D, a new
fractional operator Dλf(z) is defined. Applying this fractional operator Dλf(z) and the principle
of subordination, we give new proofs for ...

#### 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 ...

#### q-Starlike Functions of Order Alpha

(Turkic World Mathematical Soc, Z Khalilov Str, 23, Baku, Az 1148, Azerbaijan, 2018)

For all q is an element of (0, 1) and 0 <= alpha < 1 we define a class of analytic functions, so-called q-starlike functions of order alpha on the open unit disc D = {z : vertical bar z vertical bar < 1}. We will study ...