Filling Disks of Hayman Type of Meromorphic Functions

Abstract EN

We obtain the existence of the filling disks with respect to Hayman directions.

We prove that, under the condition limsup r → ∞ ( T r , f / log r 3 ) = ∞ , there exists a sequence of filling disks of Hayman type, and these filling disks can determine a Hayman direction.

Every meromorphic function of positive and finite order ρ has a sequence of filling disks of Hayman type, which can also determine a Hayman direction of order ρ .