Growth of Logarithmic Derivatives and Their Applications in Complex Differential Equations

Abstract EN

We continue the study of the behavior of the growth of logarithmic derivatives.

In fact, we prove some relations between the value distribution of solutions of linear differential equations and growth of their logarithmic derivatives.

We also give an estimate of the growth of the quotient of two differential polynomials generated by solutions of the equation f″+A(z)f′+B(z)f=0, where A(z) and B(z) are entire functions.