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- catalog abstract "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.".
- catalog contributor b6889197.
- catalog created "c1994.".
- catalog date "1994".
- catalog date "c1994.".
- catalog dateCopyrighted "c1994.".
- catalog description "1. Asymptotic Power Series -- 2. Laplace and Borel Transforms -- 3. Summable Power Series -- 4. Cauchy-Heine Transform -- 5. Acceleration Operators -- 6. Multisummable Power Series -- 7. Some Equivalent Definitions of Multisummability -- 8. Formal Solutions to Non-Linear ODE.".
- catalog description "Includes bibliographical references and index.".
- catalog 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.".
- catalog extent "x, 106 p. ;".
- catalog hasFormat "From divergent power series to analytic functions.".
- catalog identifier "0387582681 (New York : acid-free)".
- catalog identifier "3540582681 (Berlin : acid-free)".
- catalog isFormatOf "From divergent power series to analytic functions.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1582.".
- catalog isPartOf "Lecture notes in mathematics ; 1582".
- catalog issued "1994".
- catalog issued "c1994.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "From divergent power series to analytic functions.".
- catalog subject "510 s 515.2432 20".
- catalog subject "Analytic functions.".
- catalog subject "Asymptotic expansions.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "Power series.".
- catalog subject "QA3 .L28 no. 1582 QA295".
- catalog subject "Summability theory.".
- catalog tableOfContents "1. Asymptotic Power Series -- 2. Laplace and Borel Transforms -- 3. Summable Power Series -- 4. Cauchy-Heine Transform -- 5. Acceleration Operators -- 6. Multisummable Power Series -- 7. Some Equivalent Definitions of Multisummability -- 8. Formal Solutions to Non-Linear ODE.".
- catalog title "From divergent power series to analytic functions : theory and application of multisummable power series / Werner Balser.".
- catalog type "text".