Weierstrass factorization theorem
- 魏尔施特拉斯分解定理(魏尔施特拉斯分解定理:任意整函数f(z)可分解为无穷乘积形式,其中g(z)是整函数,h为亏格。求解g(z)可通过对数和导数化为无穷级数形式,得出g(z)的形式)
Weierstrass factorization theorem
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abstract:
In mathematics, the Weierstrass factorization theorem in complex analysis, named after Karl Weierstrass, asserts that entire functions can be represented by a product involving their zeroes. In addition, every sequence tending to infinity has an associated entire function with zeroes at precisely the points of that sequence.
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