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Now showing items 1-10 of 18

#### Lambda-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 ...

#### 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)

#### 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 ...

#### 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 ...

#### 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 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.

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

(Hacettepe Univ, Fac Sci, Hacettepe Univ, Fac Sci, Beytepe, Ankara 06800, Turkey, 2017-12)

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 ...

#### 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.

#### 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 = ...