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Abstract

Let {a n , n≧0} be a sequence of real numbers. Its generating function is the power series
$$A\left( u \right)=\sum\limits_{n=0}^{\infty }{{{a}_{n}}}{{u}^{n}}$$
provided that it has a nonvanishing radius of convergence. In particular if the a n are probabilities then the radius of convergence is at least equal to one. We shall consider u as a real variable.

Keywords

Generate Function Limit Theorem Discrete Parameter Independent Increment Tauberian Theorem 
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 OHG. Berlin · Göttingen · Heidelberg 1960

Authors and Affiliations

  • Kai Lai Chung
    • 1
  1. 1.Syracuse UniversityUSA

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