From Divergent Power Series to Analytic Functions [electronic resource] : Theory and Application of Multisummable Power Series / by Werner Balser.
Material type: TextSeries: Lecture Notes in Mathematics ; 1582Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1994Description: X, 114 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540485940Subject(s): Mathematics | Global analysis (Mathematics) | Mathematical physics | Mathematics | Analysis | Mathematical and Computational PhysicsAdditional physical formats: Printed edition:: No titleDDC classification: 515 LOC classification: QA299.6-433Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
---|---|---|---|---|---|---|---|
IMSc Library | IMSc Library | Link to resource | Available | EBK1714 |
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.
There are no comments on this title.