From Divergent Power Series to Analytic Functions [electronic resource] : Theory and Application of Multisummable Power Series /

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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Bibliographic Details
Main Authors: Balser, Werner. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994
Subjects:Mathematics., Mathematical analysis., Analysis (Mathematics)., Functions of complex variables., Physics., Functions of a Complex Variable., Analysis., Theoretical, Mathematical and Computational Physics.,
Online Access:http://dx.doi.org/10.1007/BFb0073564
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