The estimation of the ratio of two entire functions with the same zeros in the ball

V. L. Geynts, A. A. Shkalikov

The paper studies entire functions of finite order of growth for which a representation of the form $\psi (z)=1+O(|z{|}^{-\mu }),\mu >0,$ as $z\to \infty$, is valid on a fixed ray of the c…