论文标题

强大的独特性多项式:复杂情况

Strong uniqueness polynomials: the complex case

论文作者

An, Ta Thi Hoai, Wang, Julie T-Y, Wong, Pit-Mann

论文摘要

强大的独特性多项式理论,满足分离条件(首先由Fujimoto \ cite {fuj1}引入),对于复杂的meromormorthic函数而言,非常完整。我们构建了强大的唯一性多项式的示例,这些示例没有必要通过构建wronskian类型的常规1形式来满足分离条件,这是\ cite {aww}中引入的一种方法。我们还使用这种方法来为多项式建立必要和充分的条件,以满足分离条件的必要条件,从而成为一种强大的唯一性多项式,以实现多项式和合理函数的强大唯一性多项式。

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.

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