topic entry on series
There are in PM many entries on series whose terms are usually thought to be real but which can equally well be any complex numbers^{}. It may be good to make a list of such entries, but of course include such ones concerning the proper complex (imaginary) term series.

1.
series (http://planetmath.org/Series)
 2.
 3.
 4.
 5.
 6.
 7.
 8.

9.
Riemann’s theorem on rearrangements

10.
necessary condition of convergence
 11.

12.
http://planetmath.org/node/11941convergent series where not only ${a}_{n}$ but also $n{a}_{n}$ tends to 0

13.
generalization of Olivier criterion (http://planetmath.org/AGeneralisationOfOlivierCriterion)
 14.
 15.
 16.
 17.
 18.
 19.
 20.
 21.
 22.
 23.
 24.
 25.
 26.

27.
example of summation by parts^{}
 28.

29.
sum function^{} of series
 30.
 31.

32.
power series^{}
 33.
 34.
 35.
 36.
 37.
 38.
 39.

40.
infinity sum of reciprocal numbers
Title  topic entry on series 

Canonical name  TopicEntryOnSeries 
Date of creation  20130322 17:27:59 
Last modified on  20130322 17:27:59 
Owner  pahio (2872) 
Last modified by  pahio (2872) 
Numerical id  25 
Author  pahio (2872) 
Entry type  Topic 
Classification  msc 30A99 
Synonym  topic entry on series of complex terms 