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transcendental entire or meromorphic solution for the function equation f(z+1)=f(z)

Is it possible to give the representations of all possibile trancendental meromorphic solutions of the following functional equation:

$$f(z+1)-f(z)=0 \, .$$

Maybe it is well known for the experts. I have searched for some references for this equation, however, I did not find the answers.

Any reference and comments will be appreciated.

yaoxiao
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