RandomComplex

RandomComplex[] gives a pseudorandom complex number with real and imaginary parts in the range 0 to 1.

RandomComplex[{zmin, zmax}] gives a pseudorandom complex number in the rectangle with corners given by zmin and zmax.

RandomComplex[range, n] gives a list of n pseudorandom complex numbers.

Examples

Random complex number:

RandomComplex[]
(* 0.472 + 0.831 I *)

In a specific range:

RandomComplex[{-1 - I, 1 + I}]

Please visit the official Wolfram Language Reference for more details.