From divergent power series to analytic functions : theory and application of multisummable power series /
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 t...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer-Verlag,
[1994]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1582. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (x, 106 pages) : illustrations. |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references (pages [103]-106) and index. |
| ISBN: | 9783540485940 (electronic bk.) 3540485945 (electronic bk.) |
| ISSN: | 0075-8434 ; |