Is there any example of a non constant analytic function on { z : |z|<1} , which have infinite zeros in that domain?
2026-03-25 22:30:11.1774477811
Zero set of a non constant analytic function.
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$f(z)=\sin (\frac {\pi} {1-z})$ has zeros at $1-\frac 1 n, n=1,2,3,...$.