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From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series de Werner Balser

From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series: Lecture Notes in Mathematics, cartea 1582

Autor Werner Balser
en Limba Engleză Paperback – 29 aug 1994
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.
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Specificații

ISBN-13: 9783540582687
ISBN-10: 3540582681
Pagini: 124
Ilustrații: X, 114 p.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.19 kg
Ediția:1994
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.