Strong uniqueness polynomials: the complex case
Abstract
The theory of strong uniqueness polynomials, satisfying the separation condition (first introduced by Fujimoto 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 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.
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