1. Strong uniqueness polynomials: the complex case
- Author
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An, Ta Thi Hoai, Wang, Julie T-Y, and Wong, Pit-Mann
- Subjects
Mathematics - Complex Variables - Abstract
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.
- Published
- 2020