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A Study of Distribution Series and Analytic Multivalent Functions is a multidisciplinary book that seeks to amalgamate various topics from the two different streams of Applied Sciences and derive some new results which are not feasible in a single field. It is written for the students pursuing a course at Post Graduate, M. Phil. and Research level in the fields of Statistics and Mathematics. In this book, we intend to study about applications of various distribution series on certain new subclasses of Analytic Multivalent Functions. Various distribution series such as Generalized Distribution Series, Generalized Hypergeometric Distribution Series, Generalized Poisson Distribution Series, Generalized Pascal Distribution Series.. have been generalized. We also introduce some new subclasses of analytic multivalent functions. Some new subclasses of analytic multivalent functions which are defined by means of the Dziok-Srivastava linear operator are also introduced. Many interesting new results using these series and Dziok-Srivastava linear operator are also obtained.