Picard-Hayman behavior of derivatives of meromorphic functions with multiple zeros

The derivative of a transcendental meromorphic function all of whose zeros are multiple assumes every nonzero complex value infinitely often. In 1959, Hayman [3] proved the following seminal result, which has come to be known as Hayman’s Alternative. Theo

一个超越亚纯函数，若其所有零点均为重零点，则它能无限多次地取到每一个非零复数值。1959年，海曼[3]证明了如下开创性的结果，该结果后来被称为海曼择一定理。定理（Theo可能是Theorem的缩写，未完整给出）