Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

作者： Werner Balser

DOI:

关键词: Formal power series 、 Ordinary differential equation 、 Symbolic computation 、 Meromorphic function 、 Mathematics 、 Acceleration (differential geometry) 、 Series (mathematics) 、 Algebra 、 Linear system 、 Power series

摘要: Basic Properties of Solutions.- Singularities First Kind.- Highest-Level Formal Asymptotic Power Series.- Integral Operators.- Summable Cauchy-Heine Transform.- Solutions Highest Level.- Stokes' Phenomenon.- Multisummable Ecalle's Acceleration Other Related Questions.- Applications in Areas, and Computer Algebra.- Some Historical Remarks.