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From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series (Lecture Notes in Mathematics #1582)

From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series (Lecture Notes in Mathematics #1582)

Current price: $47.94
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Publication Date: August 29th, 1994
Publisher:
Springer
ISBN:
9783540582687
Pages:
114
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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.