Meromorphic Functions Some Of The New Subclass

Reviewing the last century, the developments of mathematics science as the foundation of science are more important than before, and permeate to almost all of human knowledge fields. Nowadays mathematics science is scholars'career never again, it is permeating to another fields, for example physics, biology, economics, sociology and so on. So we can say mathematics science is developing to'pure mathematics'and'application mathematics'.Complex Analysis is also developing quickly as the important branch of mathematics science. Surveying the historical development, complex numbers were given specific meaning until the 19th century, afterwards Wessel detected a geometry method to display them, that is complex function theory. Complex function theory was perfect with the efforts of scholars, include subordinate relations, inclusion relations, the integral operator and so on. In recent years, the scholars preceded the many of studies under the conditions of analytic functions. In 2005, by applying all classes of :Let p, n be two positive integers and denotes the class of functions of the form: which are analytic in the unit disk .Xiu-Lian Fu and Ming-Sheng Liu defined the generalized Noor integral operator by using convolution. By applying this operator, they introduced some subclasses , and of analytic functions and studied their subordinate relations, inclusion relations, the integral operator, the sufficient conditions for a function to be in the class and so on. In 2002, Om P.Ahuja and Jay M.Jahaangiri defined and which was the subclass of . New classes of multivalent harmonic functions were introduced. They gave sufficient coefficient conditions for these classes. These coefficient conditions were shown to be also necessary if certain restrictions were imposed on the coefficients of these harmonic functions. Furthermore, they determined some representation theorems. In this article, we changed the studies of analytic functions to meromorphic functions by means of , applying some problems between the subclasses of meromorphic functions by defining .The first part of the article introduces differential subordination, dominant, best dominant and hadamard product, define , .The second part of the article lists some important lemmas.The third part of the article studies subordinate relations, inclusion relations, and the integral operator with defining .The last part of the article applies a linear combination of meromorphic functions. Let , if .We could derive the inclusion relations between the classes form the above relation.