hadamard1 [복소해석학] 5.5. Hadamard's factorization theorem Theorem 1. Suppose $f$ is entire and has growth order $\rho_0$. Let $k$ be the integer so that $k\le\rho_0 $$f(z)=e^{P(z)}z^m\prod_{n=1}^\infty E_k(z/a_n)$$where $P$ is a polynomial of degree$\le k$, and $m$ is the order of the zero of $f$ at the origin.Theorem 1은 [1]에 소개된 Hadamard's factorization theorem이다. 앞으로 Hadamard's factorization theorem을 HFT로 줄여 말하자. [3]에서는 HFT를 더 상세하게 설명하고 증명의 흐름 또한 개선되.. 2025. 5. 17. 이전 1 다음 반응형