Functions of One Complex Variable Special Part

  • George Pólya
  • Gabor Szegö
Part of the Springer Study Edition book series (SSE)

Abstract

Let a 0, a 1, a 2,..., a n,... be complex numbers not all zero. Let the power series
$$ f(z) = a_0 + a_1 z + a_2 z^2 + \cdots + a_n z^n + \cdots $$
have radius of convergence R, R >0. If R=∞, f(z) is called an entire function.

Keywords

Unit Circle Entire Function Outer Radius Maximum Modulus Equality Sign 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  • George Pólya
    • 1
  • Gabor Szegö
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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