Lecture Notes in Mathematics

From Divergent Power Series to Analytic Functions

Theory and Application of Multisummable Power Series

Authors: Balser, Werner

Free Preview

Buy this book

eBook 18,18 €
price for Spain (gross)
  • ISBN 978-3-540-48594-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 25,95 €
price for Spain (gross)
  • ISBN 978-3-540-58268-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Table of contents (8 chapters)

Table of contents (8 chapters)
  • Asymptotic power series

    Pages 1-12

    Balser, Werner

  • Laplace and borel transforms

    Pages 13-22

    Balser, Werner

  • Summable power series

    Pages 23-32

    Balser, Werner

  • Cauchy-Heine transform

    Pages 33-40

    Balser, Werner

  • Acceleration operators

    Pages 41-52

    Balser, Werner

Buy this book

eBook 18,18 €
price for Spain (gross)
  • ISBN 978-3-540-48594-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 25,95 €
price for Spain (gross)
  • ISBN 978-3-540-58268-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
From Divergent Power Series to Analytic Functions
Book Subtitle
Theory and Application of Multisummable Power Series
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1582
Copyright
1994
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-48594-0
DOI
10.1007/BFb0073564
Softcover ISBN
978-3-540-58268-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 114
Topics