(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose f is an entire function, satisfying

f(z + a) = f(z) = f(z + b), for all z [itex]\in[/itex] C; where a; b are nonzero, distinct complex numbers.

Prove that f is constant.

2. Relevant equations

Loville's theorem: if f is bounded & entire, then f is constant.

3. The attempt at a solution

where would I begin to prove this function is bounded? any hint would be appreciated!

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# Homework Help: Complex analysis/entire function question

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