From Divergent Power Series to Analytic Functions

Released on by Werner Balser
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  • From Divergent Power Series to Analytic Functions Book Detail

  • Author : Werner Balser
  • Release Date : 2006-11-15
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 117
  • ISBN 13 : 3540485945
  • File Size : 19,19 MB
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From Divergent Power Series to Analytic Functions by Werner Balser PDF Summary

Book Description: Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummabi- lity, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. It will be of use to graduate students and researchers in mathematics and theoretical physics, and especially to those who encounter formal power series to (physical) equations with rapidly, but regularly, growing coefficients.

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Loeb Measures in Practice: Recent Advances

Loeb Measures in Practice: Recent Advances

File Size : 27,27 MB
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This expanded version of the 1997 European Mathematical Society Lectures given by the author in Helsinki, begins with a self-contained introduction to nonstanda