We present a new method of analytic continuation of series out of their disk of convergence. We then exhibit a connection with the phenomenon of bifurcation delay in a planar discrete dynamical system; the limit of the method is then related to a stop phenomenon.
@article{urn:eudml:doc:41870,
title = {Prolongement analytique et syst\`emes dynamiques discrets.},
journal = {Collectanea Mathematica},
volume = {43},
year = {1992},
pages = {71-82},
zbl = {0781.30005},
mrnumber = {MR1214225},
language = {fr},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41870}
}
Fruchard, Augustin. Prolongement analytique et systèmes dynamiques discrets.. Collectanea Mathematica, Tome 43 (1992) pp. 71-82. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41870/