On the Gross property
We investigate how the growth of an algebroid function could be affected by the distribution of the arguments of its a-points in the complex plane. We give estimates of the growth order of an algebroid function with radially distributed values, which are counterparts of results for meromorphic functions with radially distributed values.
In the paper we consider the growth of entire solution of a nonlinear differential equation and improve some existing results.
In this paper we discuss the growth of solutions of the higher order nonhomogeneous linear differential equation where , are complex constants that satisfy and
We study the hyper-order of analytic solutions of linear differential equations with analytic coefficients having the same order near a finite singular point. We improve previous results given by S. Cherief and S. Hamouda (2021). We also consider the nonhomogeneous linear differential equations.