Definition talk:Analytic Function/Complex Plane

I am quite sure this definition is more usually called "Holomorphic", and the one with power series "Analytic". These coincide for univariate complex analysis but in the multivariate case they differ - let alone more general Riemann surfaces. --Lord_Farin (talk) 08:10, 31 January 2013 (UTC)


 * This is indeed true. However, most sources on univariate complex analysis use the word "analytic" instead of holomorphic (at least, most of the sources on the net that I've read). I haven't studied multivariate complex analysis, so I can't write anything about that. Feel free to add an explanation to the page. --Anghel (talk) 16:56, 31 January 2013 (UTC)


 * But then what is the power series def. called? Nothing? That seems lacking. I will try to put in €0.02 later tonight. --Lord_Farin (talk) 18:35, 31 January 2013 (UTC)