On Exceptional Values of Entire Functions of Infinite Order

Theorem: If f(z) be an entire function of infinite k-th order, but of finite (k +1)-th order, there exists, at most, one entire function f₁(z) of finite k-th order (including a constant), such that the product of primary factors formed ivith the zeros of the function f(z) - f₁(z) is of finite k-th order.