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[parent] topic entry on series of complex terms (Topic)

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
  2. convergent series
  3. absolute convergence theorem
  4. sum of series
  5. remainder term
  6. necessary condition of convergence
  7. limit of sequence as sum of series
  8. sum of series depends on order
  9. convergence of Riemann zeta series
  10. manipulating convergent series
  11. multiplication of series
  12. Cauchy product
  13. double series
  14. Dirichlet series
  15. example of summation by parts
  16. real part series and imaginary part series
  17. sum function of series
  18. termwise differentiation
  19. theorems on complex function series
  20. power series
  21. identity theorem of power series
  22. Taylor series
  23. Laurent series
  24. binomial theorem
  25. quotient of Taylor series
  26. Abel summability
  27. Weierstrass double series theorem



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Cross-references: Weierstrass double series theorem, Abel summability, quotient of Taylor series, binomial theorem, Laurent series, Taylor series, identity theorem of power series, power series, theorems on complex function series, termwise differentiation, sum function of series, real part series and imaginary part series, example of summation by parts, Dirichlet series, double series, Cauchy product, multiplication of series, manipulating convergent series, convergence of Riemann zeta series, sum of series depends on order, limit of sequence as sum of series, necessary condition of convergence, remainder term, sum of series, absolute convergence theorem, convergent series, imaginary, complex, complex numbers, real, series
There are 2 references to this entry.

This is version 10 of topic entry on series of complex terms, born on 2007-08-10, modified 2007-12-22.
Object id is 9851, canonical name is TopicEntryOnSeriesOfComplexTerms.
Accessed 1049 times total.

Classification:
AMS MSC: 30A99 (Functions of a complex variable :: General properties :: Miscellaneous)
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