Harmonic Univalent Functions with Janowski Starlike ...
Recommend Documents
Each class S,~, 0~
Introduction. A continuous complex valued function defined in a simply connected complex domain D is said to be harmonic in D, if both u and v are real ...
Sep 24, 2002 - Om P. Ahuja and Jay M. Jahangiri. Received ... equivalently, if the dilatation function w = g /h satisfies |w(z)| < 1 for z â â. To this end,.
Key words and phrases : Univalent, starlike and convex functions, Hadamard ... that for f,g â H, we say that the function f is subordinate to g, written f ⺠g, or.
Feb 5, 2001 - consisting, respectively, of functions starlike of order \alpha and convex .... \Re\frac{\frac{\partial}{\partial\theta}f(z)}{\frac{\partial}{\partial\theta}z}\geq\alpha .... f(z)= \sum_{n=2}^{\infty}(\lambda_{n}h_{n}(z)+\mu_{n}g_{n}(z)
On a New Subclass of Harmonic Univalent Functions... Cho and Srivastava [3], (see also [4]), introduced the operator In λ. : A â A defined as. (3). In λ f(z) = z +.
Mar 21, 2000 - Then the function f defined by (2.2) is obviously in A. Differentiation of. (2.2) gives the representation ..... Logarithmic differentiation of g yields.
Sep 2, 2018 - k=2 akzk, z â D. The theory of (p, q)-calculus (or post quantum calculus) operators are used in various areas of science and also in the ...
11 Jun 1996 -
Using the Salagean operator, we define and study a new subclass of harmonic univalent functions. In this paper, we obtain numerous sharp results including ...
Mathematical Institute. Slovak Academy of Sciences. 1. Introduction. Let A denote the ...... College of Engineering Guindy. Anna University, Chennai 600 025, ...
Nov 1, 2016 - HFT11.m is located on your computer. ... evaluate and modify the input cells in this notebook. .... function D. For example, the following command computes the ...... Thus to verify that the last output is correct, we only need check th
Mar 20, 2000 - Volume 35, Number 3, 2005 .... to much higher degrees with more computational efforts. .... f(x) := 3 + 5 cos(x) + cos(2x) â cos(3x + 2 sin(x)).
(4) simplifies to d/(Je iv, MeiS; z)gE~ for zEA. (5') when. M = mJ >1 J and 0 real. Lemma B. Let fbe analytic in A and let 0 be analytic and univalent in A, with f (O) ...
Oct 24, 2012 - the function ( ) de ned by (13) is also in the class â. Proof. By logarithmic differentiation, we find from (13) that.
We begin with the basic definition and somavery simple examples from ... 165 divide by bl, and then write f(z) in the form . n bn. F(z) z +. anZ a. /b n=2 n. I". (1.2) ... cases. A complete account ofthese results is farbeyond the scope of this ... g
is analytic in |z| < r1 and p1 (0) = 1. Now differentiating (18) and with the use of. (5), we have p1 (z) â zp1 (z) p1 (z). = Dn+2f (z). Dn+1f (z) . This implies p1 (z) +.
We prove that for p â (0, â) an analytic univalent function in the unit disk belongs to the Hardy space Hp if and only if it belongs to the Dirichlet type space Dp.
subclasses were discussed earlier in [9, 10, 14]. Since fully convex harmonic mappings are univalent in D (see [2]), fully convex harmonic mappings of order α (0 ...
563–569. ON THE ANALYTIC PART OF. HARMONIC UNIVALENT FUNCTIONS.
Basem Aref Frasin. Abstract. In [2], Jahangiri studied the harmonic starlike func-.
Dec 24, 2014 - CV] 24 Dec 2014. EXTREME POINTS METHOD AND UNIVALENT HARMONIC. MAPPINGS. YUSUF ABU MUHANNA AND SAMINATHAN ...
vex and alpha-convex functions of hyperbolic complex and of dual complex ...... for x = 0, and simple calculations show that a (SU)-Galilean convex function f,.
r + zf "(z)f f'(") or zf '(z)lf e) lying in a given region in the right half plane; the region is often convex and symme
Harmonic Univalent Functions with Janowski Starlike ...
Harmonic Univalent Functions with Janowski Starlike Analytic Part Emel YAVUZ Abstract In this paper we dffine a new subclass of hronic univalent functions for which analytic part is Janowski Starlike Pisnction, and investigate some properties of this type of functions. Also we give a new copfficient for harnonic: imivalent fimctions. $ine(\downarrow\iota idit,y$
1 Let
Introduction
be the class of analytic functions $w(z)$ in the open unit disc , satisfying $w(O)=0$ and $|w(z)|
