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$f:\mathbb{C}\rightarrow\mathbb{C}$ is entire function such that $g(z)=f(1/z)$ has a pole at $z=0$, then is $f$ surjective?

complex-analysis asked Jan 15 at 21:36

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When does the product topology have a countable base?

general-topology asked Aug 25 '12 at 22:11

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$f:(0,\infty)\rightarrow (0,\infty)$ is continuous, $\lim_{n\rightarrow\infty}f(nx)=0$ then $\lim_{x\rightarrow\infty}f(x)=0$

real-analysis asked Jan 14 at 6:56

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