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Now showing items 21-30 of 86

#### The higher order Schwarzian derivative: Its applications for chaotic behavior and new invariant sufficient condition of chaos

(Elsevier, 2009-06)

The Schwarzian derivative of a function which is defined in the interval having higher order derivatives is given by
A sufficient condition for a function to behave chaotically is that its Schwarzian derivative is ...

#### Some Results on Dynamics of Newton Differential Equation

(2005)

In this paper the case where the Newton differential equation defined by the Newton-Raphson iteration method equals a constant (namely 2) is investigated. The dynamics of these functions are examined by showing that the ...

#### Growth theorems for perturbated starlike log-harmonic mappings of complex order

(2009)

Let H(D) be the linear space of all analytic functions defined on
the open unit disc D = {z ∈ C : |z| < 1}. A sense-preserving logharmonic
mapping is the solution of the non-linear elliptic partial
differential equation ...

#### Some results on a subclass of p-valent starlike functions

(International Symposium on New Development of Geometric Function Theory and Its Applications, GFTA 2008, Universiti Kebangsaan Malaysia, Kuala Lumpur, Malaysia, 2008)

#### 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 ...

#### Marx-Strohhacker inequality for Mocanu-Janowski alpha-convex functions

(2007)

Let be the class of functions w(z) regular in the unit disc D = {z : |z| < 1} with w(0) = 0, and |w(z)| < 1. For arbitrarily fixed real numbers A 2 ( 1,1) and B 2 ( 1,A), let P(A, B) be the class of regular functions p(z) ...

#### q-Harmonic mappings for which analytic part is q-convex functions of complex order

(Hacettepe Univ, Fac Sci, Hacettepe Univ, Fac Sci, Beytepe, Ankara 06800, Turkey, 2018)

We introduce a new class of harmonic function f, that is subclass of planar harmonic mapping associated with q-difference operator. Let h and g are analytic functions in the open unit disc D = {z : vertical bar z vertical ...

#### 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 ...