On the Order and Type of Integral Functions of several Complex Variables

Abstract

Let f(z₁,z₂) = Σ a_mnz^m₁zⁿ₂

be a function of two complex variables z₁ and z₂, where the coefficients a_mn are complex numbers. The series (1.1) represents an integral function of two variables z₁, z₂, if it converges absolutely for all values of |z₁| < ∞ and |z₂| < #8734;.