21 May
2013
21 May
'13
5:27 p.m.
On 21/05/2013 15:16, Dan Asimov wrote:
(Partly in response to Gareth):
Given a differential equation dz/dt = f(z) where f is complex analytic in some open set of C, we know from the existence theorem for such differential equations that for any (z,t) where the function F(z,t) is defined, there is an open set N of CxC = C^2 such that (z,t) lies in N and such that F(z,t) is analytic jointly in z and t (hence in each one separately, holding the other one fixed) in N.
Of course this doesn't actually answer the question I asked :-). -- g