Elementary Properties and Examples of Analytic Functions

  • John B. Conway
Part of the Graduate Texts in Mathematics book series (GTM, volume 11)


In this section the definition and basic properties of a power series will be given. The power series will then be used to give examples of analytic functions. Before doing this it is necessary to give some elementary facts on infinite series in ℂ whose statements for infinite series in ℝ should be well known to the reader.


Analytic Function Power Series Harmonic Function Mapping Property Infinite Series 
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Copyright information

© Springer Science+Business Media, Inc. 1978

Authors and Affiliations

  • John B. Conway
    • 1
  1. 1.Mathematics DepartmentUniversity of TennesseeKnoxvilleUSA

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