|z|^2 is a real number, so 1/(1 - |z|^2) is also a real number. For what values will this real number be defined?
The question
Describe the domain of definition that is understood:
My attempt:
I noticed that and that in polar form. So,
Thus the denominator becomes 0 if , so there is no domain at these points. Is this correct? Any assistance would be truly appreciated!