Suppose that h and g belong to the algebra \B generated by the rational
functions and an entire function f of finite order on Cn and that
h/g has algebraic polar variety. We show that either h/g\in\B or
f=q1ep+q2, where p is a polynomial and q1,q2 are rational functions.
In the latter case, h/g belongs to the algebra generated by the rational
functions, ep and e−p.Comment: 11 page