Abstract:
In this thesis, we define and analyze some new classes related with generalized Bazilevic
functions. We use different techniques and tools to introduce these classes including
Robertson functions, integral operator, convolution operator, real and the complex order
and differential subordination. These classes are thoroughly analyzed by studying their
coefficient bounds, arc length problem, coefficient difference problem, integral
representation, inclusion results, radius problems, maximum value of the modulus, the
rate of Hankel determinant and Fekete Szego inequality of one of our defined class. We
show that the class of generalized Bazilevic function is preserved under the Bernardi
integral operator. The study of special cases for the different choices of parameter is also
a part of our work. We establish a sound connection of our proved work with already
existing results available in literature.
