Analytic Functions and Elements

  • Alain M. Robert
Part of the Graduate Texts in Mathematics book series (GTM, volume 198)


A powerful method for defining functions is provided by power series (we have seen two examples in Chapter V: exp and log). This method is here developed systematically, and we come back to a more thorough study of formal power series. As is classically known, uniform limits of polynomials in a complex disk lead to analytic functions.


Power Series Open Ball Formal Power Series Principal Part Critical Radius 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Alain M. Robert
    • 1
  1. 1.Institut de MathématiquesUniversité de NeuchâtelNeuchâtelSwitzerland

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