From Divergent Power Series to Analytic Functions : Theory and Application of Multisummable Power Series. 1st ed. 1994
- 種類:
- 電子ブック
- 責任表示:
- by Werner Balser
- 出版情報:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994
- 著者名:
- シリーズ名:
- Lecture Notes in Mathematics ; 1582
- ISBN:
- 9783540485940 [3540485945]
- 注記:
- 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.
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. - ローカル注記:
- 学内専用E-BOOKS (local access only)
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