Product formula: Difference between revisions

Latest revision as of 19:17, 18 May 2008

Definition

A product formula for a holomorphic function or meromorphic function $f:U\to \mathbb {C}$ is the following data: a holomorphic function $F$ of two variables, such that:

$f(z)=\prod _{n=1}^{\infty }F(z,n)$

where the formula holds valid on a nonempty open subset of $U$ .

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