2005/04/07 | Hadamard因式分解定理[Hadamard Factorization Theorem]
类别(∑〖数学〗) | 评论(1) | 阅读(130) | 发表于 14:08
Let f be an entire function of finite order and the zeros of f,listed with multiplicity, then the rank p of f is defined as the least positive integer such that
(1)

Then the canonical Weierstrass product is given by
(2)

and g has degree . The genus of f is then defined as and the Hadamard factorization theory states that an entire function of finite order is also of finite genus ,and
(3)
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