3:02 PM
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Im looking for a real-entire function* $f(z)$ such that for any (finite) complex $z$ we have both properties at once : Property 1) $$ \lim_{t \to +\infty} |f(z+t)| = \infty $$ $$ \lim_{t \to +\infty} f(z-t) = 0 $$ where $t$ is real and Property 2) $-1$ is not in the range of $f$: $$f(z) \ne -1$$ ...
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