  The theory of strong uniqueness polynomials, satisfying the separation
condition (first introduced by Fujimoto \cite{Fuj1}), for complex meromorphic
functions is quite complete. We construct examples of strong uniqueness
polynomials which do not necessary satisfy the separation condition by
constructing regular 1-forms of Wronskian type, a method introduced in
\cite{AWW}. We also use this method to produce a much easier proof in
establishing the necessary and sufficient conditions for a polynomial,
satisfying the separation condition, to be a strong uniqueness polynomials for
meromorphic functions and rational functions.
