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#### Schwarzian Derivative Revisited

(İstanbul Kültür Üniversitesi Yayınları, 2006-12)

The Boolean-algebraic structure of the so-called Schwarzian derivative is investigated. A sufficient condition for a function of several variables to behave chaotically, which concerns its associated Schwarzian derivative, ...

#### New distortion theorems for Sakaguchi functions

(ELEMENT, R AUSTRIJE 11, 10000 ZAGREB, CROATIA, 2007-10)

Let A be the class of functions f (z) of the form f (z) = z + Sigma(infinity)(k=2), a(k)z(k) that are analytic in the open unit disk D = {(z) epsilon C | |z| < 1} in 1959, K. Sakaguchi [9] has considered the subclass of A ...

#### The relaxed Newton method derivative: Its dynamics and non-linear properties

(PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2008-04-01)

The dynamic behaviour of the one-dimensional family of maps f(x) = c(2)[(a - 1)x + c(1)](-lambda/(alpha-1)) is examined, for representative values of the control parameters a, c(1), c(2) and lambda. The maps under consideration ...

#### 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 = ...

#### A Certain Class of Harmonic Mappings Related to Functions of Bounded Boundary Rotation

(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2014-05)

Let V(k) be the class of functions with bounded boundary rotation and let S-H be the class of sense-preserving harmonic mappings. In the present paper we investigate a certain class of harmonic mappings related to the ...

#### Quasiconformal Harmonic Mappings Related to Janowski Starlike Functions

(Univ Kebangsaan Malaysia, Faculty Science & Technology, Bangi, Selangor, 43600, Malaysia, 2014-12)

Let f(z) = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar omega(z)vertical ...

#### A Characterization for Convex Functions of Complex Order b

(İstanbul University Science Faculty, 1997)

The main purpose of this note is tö give a new characterization for convex functions of complex order b. It should be noticed that by giving specific values to b we obtain new characterizations of important
subclasses of ...

#### Distortion properties of perturbed m-valent Janowski Starlike log-harmonic functions

(International Conference on Theory and Applications of Mathematics and Informatics, ICTAMI, 2009)

#### 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 ...

#### 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 ...