Please use this identifier to cite or link to this item: http://prr.hec.gov.pk/jspui/handle/123456789/1564
Title: Some Subclasses of Analytic Functions Related with the Generalizations of Functions with Bounded Boundary Rotation
Authors: BUKHARI, SYED ZAKAR HUSSAIN
Keywords: Natural Sciences
Mathematics
General principles of mathematics
Algebra
Arithmetic
Topology
Analysis
Geometry
Numerical analysis
Probabilities & applied mathematics
Issue Date: 2011
Publisher: COMSATS Institute of Information Technology Islamabad-Pakistan
Abstract: Some Subclasses of Analytic Functions Related with the Generalizations of Functions with Bounded Boundary Rotation Geometric Function Theory on broad spectrum mostly deals with the geometric properties of univalent, multivalent, meromorphic functions etc. and Theorists paid much of their attention to the classes of these functions. Various subclasses of analytic functions related with the Carath√©odory functions along with their generalizations were studied systematically in various aspects in the literature of the subject. The main focus of this study is to define certain new subclasses of analytic functions related with the functions of bounded boundary rotation and their generalizations. We use the idea of convolution and subordination along with the concepts of bounded Mocanu variation, Robertson functions, multiplier transformations etc. in defining these classes of analytic as well as multivalent functions. We also investigate and explore these classes and study various results like coefficient bounds, radius problems, inclusion results, integral and convolution preserving properties etc. and their relationships with the previously known results.
URI:  http://prr.hec.gov.pk/jspui/handle/123456789//1564
Appears in Collections:PhD Thesis of All Public / Private Sector Universities / DAIs.

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