On Bounded Boundary and Bounded Radius Rotations

On Bounded Boundary and Bounded Radius Rotations

K. I. Noor, W. Ul-Haq, M. Arif, and S. Mustafa Department of Mathematics, COMSATS Institute of Information Technology, 44000 Islamabad, Pakistan Correspondence should be addressed to M. Arif, [email protected] Received 6 January 2009; Revised 6 March 2009; Accepted 19 March 2009 Recommended by Narendra Kumar Govil We establish a relation between the functions of bounded boundary and bounded ...

On Bounded Boundary and Bounded Radius Rotation Related with Janowski Function

The aim of this paper is to study the subclasses of Janowski functions with bounded boundary and bounded radius rotations of order a. The order of a function from the class of Janowski functions with bounded boundary rotations to be from bounded radius rotations is of major interest and some of its applications are also discussed here. 2000 Mathematics subject classification: 30C45 • 30C50

Convolution and Subordination Properties of Analytic Functions with Bounded Radius Rotations

Generalized bounded boundary turning functions

For a Jordan domain with smooth boundary, the boundary rotation h is defined as the total variation of the direction angle of the tangent to the boundary curve under a complete circuit. The domain is said to have bounded turning or rotation if h < 1 and the functions under such mappings are called functions of bounded boundary turning or rotation. We define a generalization of this concept and ...

FUZZY BOUNDED SETS AND TOTALLY FUZZY BOUNDED SETS IN I-TOPOLOGICAL VECTOR SPACES

In this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. Thena relation between totally fuzzy bounded sets and N-compactness is discussed.Finally, a geometric characterization for fuzzy totally bounded sets in I- topologicalvector spaces is derived.