Simply periodic function
= Simply periodic function
{title2=$\operatorname{Per}(f)=\omega\mathbb Z$}
A nonconstant <meromorphic function> on the <complex plane> is simply periodic when its group of periods is generated by one nonzero complex number. It is distinct from a doubly periodic <elliptic function>, whose <period lattice> has two real-linearly independent generators. Single periodicity alone imposes no algebraic addition law.