Normality of a Family of Meromorphic Functions
Xiaojing Wang
Abstract
Xiaojing Wang
Abstract
One normal criterion is obtained. Let F be a family of meromorphic functions on the unit disk Δ, all of whose zeros are of multiplicity. Leg a be a nonzero complex number. If for any f∈F, f and f ′ share a then F is normal on Δ.
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One normal criterion is obtained. Let F be a family of meromorphic functions on the unit disk Δ, all of whose zeros are of multiplicity. Leg a be a nonzero complex number. If for any f∈F, f and f ′ share a then F is normal on Δ.
Key concepts: Meromorphic function, Normality, Normal family, Multiplicity (mathematics), Mathematics, Unit disk, Pure mathematics, Unit (ring theory)