E-Book, Englisch, Band 1582, 114 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Balser From Divergent Power Series to Analytic Functions
Erscheinungsjahr 2006
ISBN: 978-3-540-48594-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Theory and Application of Multisummable Power Series
E-Book, Englisch, Band 1582, 114 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-48594-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
