منابع مشابه
On Uniformly Starlike Functions
These are normalized functions regular and univalent in E: IzI < 1, for which f( E) is starlike with respect to the origin. Let y be a circle contained in E and let [ be the center of y. The Pinchuk question is this: Iff(z) is in ST, is it true thatf(y) is a closed curve that is starlike with respect tof(i)? In Section 5 we will see that the answer is no. There seems to be no reason to demand t...
متن کاملClasses of uniformly starlike and convex functions
Some classes of uniformly starlike and convex functions are introduced. The geometrical properties of these classes and their behavior under certain integral operators are investigated. 1. Introduction. Let A denote the class of functions of the form f (z) = z+ ∞ n=2 a n z
متن کاملParabolic Starlike and Uniformly Convex Functions
The main object of this paper is to derive the sufficient conditions for the function z {pψq (z)} to be in the class of uniformly starlike and uniformly convex function associated with the parabolic region Re {ω} > |ω − 1| . Further, the hadamard product of the function which are analytic in the open unit disk with negative coefficients are also investigated. Finally, similar results using an i...
متن کاملOn Harmonic Uniformly Starlike Functions Defined by an Integral Operator
Using the integral operator, we define and study a generalized family of complex-valued harmonic functions that are univalent, sense-preserving and are associated with uniformly harmonic functions in the unit disk. We obtain coefficient inequalities, extreme points and distortion bounds for the functions in our class. The results obtained for the our class reduce to the corresponding results fo...
متن کاملTHE DZIOK-SRIVASTAVA OPERATOR AND k−UNIFORMLY STARLIKE FUNCTIONS
Inclusion relations for k−uniformly starlike functions under the Dziok-Srivastava operator are established. These results are also extended to k−uniformly convex functions, close-to-convex, and quasi-convex functions.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1991
ISSN: 0022-247X
DOI: 10.1016/0022-247x(91)90006-l