书目名称 | From Divergent Power Series to Analytic Functions |
副标题 | Theory and Applicati |
编辑 | Werner Balser |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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. |
出版日期 | Book 1994 |
关键词 | Analytic Functions; Divergent Power Series; Formal power series; Laplace transfomation; Meromorphic func |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0073564 |
isbn_softcover | 978-3-540-58268-7 |
isbn_ebook | 978-3-540-48594-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1994 |