This question is part of a bigger one, but I need to determine for what domain is entire. I am not sure how to get started. I suspect I am having a really stupid moment and just can't figure out how to make it fit into Cauchy-Riemann, but I can't work it out. Thanks for your help.
As in...
Entire Function -- from Wolfram MathWorld
... according to the 'standard definition', an f(z) is called entire if it is analytic on the whole complex plane . That means that in any case the expression 'for what domain is entire' is 'selfcontraductory' and the expression 'for what domain is analytic' should be used instead of it...
Kind regards