Abstract

In this paper we discuss the classical problem of finding conditions that the entire coefficients A(z) and B(z) should satisfy to ensure all nontrivial solutions of f′′+A(z)f′+B(z)f=0 are of infinite order. Two different approaches are used. In the first approach the entire coefficient B(z) has dynamical property with a multiply connected Fatou component, and A(z) is extremal for Yang’s inequality or a nontrivial solution of w′′+P(z)w=0, where P(z) is a polynomial. In the second approach B(z) satisfies T(r,B)∼logM(r,B) outside a set of finite logarithmic measure, and A(z) has the same properties as in the first approach.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call