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140122 ||| eng |
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|a 9783540485940
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|a Balser, Werner
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|a From Divergent Power Series to Analytic Functions
|h Elektronische Ressource
|b Theory and Application of Multisummable Power Series
|c by Werner Balser
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| 250 |
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|a 1st ed. 1994
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1994, 1994
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| 300 |
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|a X, 114 p
|b online resource
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|a Asymptotic power series -- Laplace and borel transforms -- Summable power series -- Cauchy-Heine transform -- Acceleration operators -- Multisummable power series -- Some equivalent definitions of multisummability -- Formal solutions to non-linear ODE.
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| 653 |
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|a Functions of complex variables
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| 653 |
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|a Mathematical analysis
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| 653 |
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|a Analysis
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| 653 |
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|a Functions of a Complex Variable
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| 653 |
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|a Mathematical physics
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| 653 |
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|a Theoretical, Mathematical and Computational Physics
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| 041 |
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|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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|a Lecture Notes in Mathematics
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|a 10.1007/BFb0073564
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|u https://doi.org/10.1007/BFb0073564?nosfx=y
|x Verlag
|3 Volltext
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|a 515.9
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| 520 |
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|a 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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