Abstract:
The main objective of this research is to obtain several analytic and
geometric properties of analytic and multivalent (𝑝-valent) starlike functions
defined in the open unit disk associated with certain linear operator by
introducing certain classes and deriving some properties. In this thesis, a wide
class of problems is investigated. First, Fekete-Szegӧ problems for functions
belonging to some classes of 𝑝-valent starlike functions are solved. In
addition, numerous starlikeness and convexity conditions of 𝑝-valent
functions are obtained. Finally, certain classes of 𝑝-valent starlike functions
with negative coefficients are defined, in obtaining, coefficient bounds,
distortion properties, convolution properties, closure properties, extreme
points, radius of close-to-convexity, radius of starlikeness, radius of
convexity, class-preserving integral operators and integral means inequalities
