# Determination of entire functions given with a removable singularity. [closed]

Determine all entire functions $$f(z)$$ such that $$0$$ is a removable singularity of $$f\big(\frac{1}{z}\big)$$.

## closed as off-topic by Saad, Chinnapparaj R, Brahadeesh, rtybase, ancientmathematicianDec 1 '18 at 15:56

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By Reimann Theorem for removable singularity, If $$f$$ has a removable singularity at $$z_0$$ iff it is bounded and holomorphic in a neighbourhood
SO as $$g(z)=f(1/z)$$ has removable singularity at 0 so at infinity $$f(z)$$ is bounded so