2004Journal of Southwest China Normal UniversityRequires access

Normality of a Family of Meromorphic Functions

Xiaojing Wang

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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.

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Available 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.

Key concepts: Meromorphic function, Normality, Normal family, Multiplicity (mathematics), Mathematics, Unit disk, Pure mathematics, Unit (ring theory)

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