order of factors in infinite product


If the infinite product


of complex numbersMathworldPlanetmathPlanetmath 1+cν is absolutely convergent (http://planetmath.org/AbsoluteConvergenceOfInfiniteProduct), then its value, i.e.  limnν=1n(1+cν), does not depend on the is zero.

Title order of factors in infinite product
Canonical name OrderOfFactorsInInfiniteProduct
Date of creation 2013-03-22 14:37:27
Last modified on 2013-03-22 14:37:27
Owner pahio (2872)
Last modified by pahio (2872)
Numerical id 11
Author pahio (2872)
Entry type Theorem
Classification msc 30E20
Related topic AbsoluteConvergenceOfInfiniteProductAndSeries
Related topic ConvergenceOfComplexTermSeries
Related topic SumOfSeriesDependsOnOrder
Defines value of an infinite product