absolute convergence of infinite product

An infinite product ${\prod }_{n=1}^{\mathrm{\infty }}(1+a_n)$ is said to be if ${\prod }_{n=1}^{\mathrm{\infty }}(1+|a_n|)$ converges.

Title	absolute convergence of infinite product
Canonical name	AbsoluteConvergenceOfInfiniteProduct
Date of creation	2013-03-22 13:36:00
Last modified on	2013-03-22 13:36:00
Owner	mathcam (2727)
Last modified by	mathcam (2727)
Numerical id	9
Author	mathcam (2727)
Entry type	Definition
Classification	msc 30E20
Related topic	AbsoluteConvergenceImpliesConvergenceForAnInfiniteProduct