In mathematics, for a sequence of complex numbers a1, a2, a3, ... the infinite product
$${\displaystyle \prod _{n=1}^{\infty }a_{n}=a_{1}a_{2}a_{3}\cdots }$$
is defined to be the limit of the partial products 展开

One important result concerning infinite products is that every entire function f(z) (that is, every function that is holomorphic over the entire 展开

• Infinite products from Wolfram Math World
• A Collection of Infinite Products – I
• A Collection of Infinite Products – II 展开

The product of positive real numbers
$${\displaystyle \prod _{n=1}^{\infty }a_{n}}$$
converges to a nonzero real number if and only if the sum
$${\displaystyle \sum _{n=1}^{\infty }\log(a_{n})}$$ 展开

• Infinite products in trigonometry
• Iterated binary operation
• Infinite expression
• Infinite series
• Pentagonal number theorem 展开