The Generalized Growth Of The Generalized Dirichlet Series

Based on already existing results of dirichlet series with real exponents, in this thesis we mainly study the generalized growth of entire functions represented by generalized dirichlet series, which generalize the related research of dirichlet series This thesis is divided into three parts.To be more precise, chapter1presents the background, research situations and prior knowledge of dirichlet series.In chapter2, firstly we define the maximum term, maximum modulus and p order of entire functions represented by generalized dirichlet series in an angular domain, then we study the relation between p-order and its coefficients, exponents using classical method.Chapter3is devoted to investigate the generalized order, type of entire functions of almost everywhere absolutely convergent and slowly growth. We obtain the relation between the generalized order, type represented by its coefficients, exponents and the generalized order, type represented byMθ(σ).