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absolute convergence of infinite product (Definition)

An infinite product $ \prod_{n=1}^{\infty}(1+a_n)$ is said to be absolutely convergent if $ \prod_{n=1}^{\infty}(1+\vert a_n\vert)$ converges.



"absolute convergence of infinite product" is owned by mathcam. [ full author list (2) | owner history (1) ]
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See Also: absolute convergence implies convergence for an infinite product
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Cross-references: converges, product, infinite
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This is version 5 of absolute convergence of infinite product, born on 2003-04-28, modified 2004-03-23.
Object id is 4226, canonical name is AbsoluteConvergenceOfInfiniteProduct.
Accessed 2674 times total.

Classification:
AMS MSC: 30E20 (Functions of a complex variable :: Miscellaneous topics of analysis in the complex domain :: Integration, integrals of Cauchy type, integral representations of analytic functions)
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