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::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)
::::My knowledge is also inadequate, hopefully a mathematician can look over all this at some point in the near future. My best advice is that while you are rewriting large chunks of the page, you should just follow what established, reliable sources say. If they are all talking about a concept, then it should be mentioned or summarized here, otherwise you can probably get away without mentioning at all. In the meanwhile, you can add it to "See also". [[User:Footlessmouse|Footlessmouse]] ([[User talk:Footlessmouse|talk]]) 11:19, 12 December 2020 (UTC)
:::::Thank you for your advice. I will add it to the See also.--[[User:SilverMatsu|SilverMatsu]] ([[User talk:SilverMatsu|talk]]) 11:44, 12 December 2020 (UTC)
=== References ===
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