A subclass of p-valent functions with negative and missing coefficients

ABSTRACT This study consists of three chapters. In the first chapter, the definition of univalent and p-valent functions, the theorems and their results connected to them and some their important subclasses of known classes of such functions are given. Moreover, by giving subordination principle, a base for a new subclass which will be defined is formed. Some subclasses of univalent, p-valent, meromorphic univalent and meromorphic p-valent functions which will be a support in our study are investigated in the second chapter. In the first and second chapters, by the aim to avoid unnecessary repeats and not to damage the completeness of topics, to be straightforward obtained references are prefered. In the third chapter which consists of the main part of our study, a new subclass of p-valent functions with negative and missing coefficients is defined. Furthermore, coefficient estimates, distortion and closure properties concerned with this class are shown with details. Moreover, radius of close-to-convexity, starlikeness and convexity for mis class are calculated. m