Let $S = \{0\}\cup \{\frac{1}{4n+7} : n =1,2\ldots\}$. How to find the number of analytic functions which vanish only on $S$?
Options are
a: $\infty$
b: $0$
c: $1$
d: $2$
Let $S = \{0\}\cup \{\frac{1}{4n+7} : n =1,2\ldots\}$. How to find the number of analytic functions which vanish only on $S$?
Options are
a: $\infty$
b: $0$
c: $1$
d: $2$