Multisummability of formal power series solutions of linear analytic q-difference equations

Authors
Marotte, F Zhang, C
Citation
F. Marotte et C. Zhang, Multisummability of formal power series solutions of linear analytic q-difference equations, ANN I FOUR, 50(6), 2000, pp. 1859
Citations number
13
Categorie Soggetti
Mathematics
Journal title
ANNALES DE L INSTITUT FOURIER
ISSN journal
03730956 → ACNP
Volume
50
Issue
6
Year of publication
2000
Database
ISI
SICI code
0373-0956(2000)50:6<1859:MOFPSS>2.0.ZU;2-X
Abstract
We introduce a q-analogous version of the elementary acceleration method of Ecalle-Martinet-Ramis and define the Gq-multisummable power series. We sho w that every formal power series satisfying a linear analytic q-difference equation is Gg-multisummable.