  We investigate the complex Gaussian as well as non-Gaussian distributed
random analytical and entire functions (complex entire random field) and
calculate their domain of definiteness (radius of convergence) as well as some
important characteristics: order and type. As a consequence we deduce that all
the mentioned characteristics, under very natural conditions, are deterministic
(non-random) with probability one and we calculate them. Moreover we exhibit
some examples to show the exactness of the obtained results.
