Abstract:
On Certain Subclasses of Analytic Functions in
Geometric Function Theory of a Complex Variable
In this thesis, we define some new subclasses of analytic functions using the techniques of
convolution, differential subordination and the concepts of conic domains, bounded boundary
rotation and bounded radius rotation. We study these new classes thoroughly and investigate
several coefficient results, radii problems, convolution preserving properties, inclusion
results, integral preserving mapping properties along with various other useful applications.
Most of these results are sharp. Various known and new results are also derived as special
cases from our results.
