Some relative growth analysis of entire functions represented by VVDS

The theory of entire functions is very important area of complex analysis. These functions have many interesting properties which mostly generated by the Cauchy formula. In the theory of functions of a complex variable, those functions which are characterize in the form of a power series or a Dirichlet series play an important role. Many mathematicians have obtained various results by considering Dirichlet series with complex exponents. However, in 1983, Indian mathematician B. L. Srivastava introduced a new class of Dirichlet series which is called vector valued Dirichlet series briefly known as VVDS. Later, he also studied some growth properties of analytic functions represented by VVDS and obtained the coefficient characterizations of their order and type. During the past decades, several authors made close survey on the growths of analytic functions represented by VVDS in some different direction. In the present book, the authors have tried to study some comparative growth rates of analytic functions represented by VVDS and obtained a number of significant results.