Abstract
The purpose of this paper is to give a sufficient condition for convergence of a multisummable power series. Previously, similar results had been obtained for formal solutions of ordinary differential equations and also of a completely integrable Pfaffian system. In those cases, proof was based heavily on the form of equations. But, in relatively recent developement, it was shown that formal solutions of ordinary differential equations at an irregular singular point are generally multisummable. In this paper, proof of convergence is totally independent of any equations and based only on multisummability of power series.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
