Content deleted Content added
Silvermatsu (talk | contribs) |
Silvermatsu (talk | contribs) |
||
Line 69:
::Thank you for your reply.I also seem to be close to a holomorphic function. When I looked at the page I introduced, it said "It is no longer true however that if a function is defined and holomorphic in a ball, its power series around the center of the ball is convergent in the entire ball; for example, there exist holomorphic functions defined on the entire space which have a finite radius of convergence". For Several complex variables, the Taylor expansion of the holomorphic function <math>f(z_1,\dots,z_n)</math> on the Reinhardt ___domain D, including the center a, has been shown to converge uniformly on any compact set on D<ref group=Ifaptmbrttp>H. Cartan, ''Les fonctions des deux variables complexes et le probléme de la représentation'' J.de Math.(9),10,1931,p.19</ref> so I thought it might need to be covered on this page. My knowledge is inadequate and may not matter. My knowledge is inadequate, so it may be an unrelated topic. Thanks!--[[User:SilverMatsu|SilverMatsu]] ([[User talk:SilverMatsu|talk]]) 10:28, 12 December 2020 (UTC)
=== References ===
{{reflist|group=Ifaptmbrttp}}
| |||