◀ ▲ ▶Branches / Analysis / Proposition: Direct Comparison Test For Absolutely Convergent Complex Series
Proposition: Direct Comparison Test For Absolutely Convergent Complex Series
In order to test, if a complex series \(\sum_{k=0}^\infty x_k\) is an absolutely convergent complex series, it suffices to find a convergent real series \(\sum_{k=0}^\infty y_k\) with \(x_k\le y_k\) for all \(k\). Such a series \(\sum_{k=0}^\infty y_k\) is called the majorant of the series \(\sum_{k=0}^\infty x_k\).
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1 2
Thank you to the contributors under CC BYSA 4.0!
 Github:

References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983