Sequences and Series of Functions II

  • Emanuel Fischer
Part of the Undergraduate Texts in Mathematics book series (UTM)


We consider power series \(\sum {{a_n}{{\left( {x - {x_0}} \right)}^n}}\) and \(\sum {{b_n}{{\left( {x - {x_0}} \right)}^n}}\) with respective radii of convergence R a and R b and write R = min{R a , R b }. We also assume that R > 0 so that R a R > 0 and R b R > 0.


Positive Integer Power Series Nonnegative Integer Uniform Convergence Infinite Series 
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Copyright information

© Springer-Verlag New York, Inc. 1983

Authors and Affiliations

  • Emanuel Fischer
    • 1
  1. 1.Department of MathematicsAdelphi UniversityGarden CityUSA

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