From divergent power series to analytic functions : theory and application of multisummable power series

＜図書＞
From divergent power series to analytic functions : theory and application of multisummable power series

責任表示	Werner Balser
シリーズ	Lecture notes in mathematics ; 1582
データ種別	図書
出版情報	Berlin ; New York : Springer-Verlag , c1994
本文言語	英語
大きさ	x, 106 p. ; 24 cm
概要	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 ...ook 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. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7018071

一般注記	Includes bibliographical references (p. [103]-106), index and list of symbols
著者標目	*Balser, Werner, 1946-
件　名	LCSH:Power series LCSH:Asymptotic expansions LCSH:Summability theory LCSH:Analytic functions
分　類	NDC8:410.8 LCC:QA3 LCC:QA295 DC20:510 s DC20:515.2432
書誌ID	1000030136
ISBN	3540582681
NCID	BA23286110
巻冊次	: gw ; ISBN:3540582681 : us ; ISBN:0387582681
登録日	2009.09.10
更新日	2017.02.18