HU Zhong-wei
Abstract
Let n,k be two positive integers with n≥k+3.Let F be a family of functions meromorphic on a domain D,all of whose zeros have multiplicity at least k+1.Suppose that for each pair of functions f and g in F,f(k)-afn and g(k)-agn share a value b in D where a,b are two finite complex constants such that a≠0,then F is normal on D.
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Let n,k be two positive integers with n≥k+3.Let F be a family of functions meromorphic on a domain D,all of whose zeros have multiplicity at least k+1.Suppose that for each pair of functions f and g in F,f(k)-afn and g(k)-agn share a value b in D where a,b are two finite complex constants such that a≠0,then F is normal on D.
Key concepts: Meromorphic function, Normal family, Multiplicity (mathematics), Mathematics, Combinatorics, Value (mathematics), Domain (mathematical analysis), Pure mathematics