From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series
Author:   Werner Balser
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1994 ed.
Volume:   1582
ISBN:  

9783540582687


Pages:   114
Publication Date:   29 August 1994
Format:   Paperback
Availability:   In Print   Availability explained
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From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series


Overview

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 multisummability, 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.

Full Product Details

Author:   Werner Balser
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1994 ed.
Volume:   1582
Dimensions:   Width: 15.50cm , Height: 0.60cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783540582687


ISBN 10:   3540582681
Pages:   114
Publication Date:   29 August 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.

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