COMPARATIVE GROWTH ANALYSIS OF ENTIRE AND MEROMORPHIC FUNCTIONS.

      Аннотация: In this book we have investigated some newly developed results related to the growth rates of entire functions represented by a vector valued Dirichlet series on the basis of their relative Ritt order and relative Ritt lower order. Also we have studied some growth properties of the entire functions represented by a vector valued Dirichlet series on the basis of relative Ritt type and relative Ritt weak type, some growth rates of composition of entire and meromorphic functions on the base of generalized relative order and generalized relative lower order of meromorphic functions with respect to entire functions. In the later part we have discussed some results depending on the comparative growth properties of composite entire or meromorphic functions.

Ключевые слова: Entire function, Meromorphic function, composition, Growth, Iterated entire function, maximum modulus, Nevan- linna's characteristic function, Generalized (lower) order of an entire function, (p; q)-th order and (p; q)-th lower order., Vector valued Dirichlet series, relative Ritt order, relative Ritt lower order