Generating Functions

  • J. G. Kalbfleisch
Part of the Springer Texts in Statistics book series (STS)


Suppose that the function A(u) has a Taylor’s series expansion about u = 0,
$$A(u) = {a_0} + {a_1} + {a_2}{u^2} +... + {a_i}{u^i} +...,$$
and that this series converges in some open interval containing the origin. Then A(u) is called the generating function of the sequence a o , a t , a 2 , …. Generating functions have important applications in many branches of mathematics.


Generate Function Negative Binomial Distribution Moment Generate Function Probability Generate Function Bivariate Normal Distribution 
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 Science+Business Media New York 1985

Authors and Affiliations

  • J. G. Kalbfleisch
    • 1
  1. 1.Department of Statistics and Actuarial ScienceUniversity of WaterlooWaterlooCanada

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