涉及微分多项式分担函数的正规定则

Abstract

Abstract: Let m(≥ 0) be an integer, let h(z)(≢0) be a holomorphic function in a domain D with all zeros have multiplicity at most m, let P be a polynomial with either deg P ≥ 3 or deg P=2 and P having only one distinct zero, and let F be a family of meromorphic functions in a domain D, all of whose zeros and poles have multiplicity at least m+1. If, for each pair of functions f and g in F, P(f)f' and P(g)g' share h(z) in D, then F is normal in D. The result improved the results due to Lei and Fang^[8], Zhang^[16].

Key words: Meromorphic function, Normal criterion, Shared function

CLC Number:

O174.5

Deng Bingmao, Lei Chunlin, Fang Mingliang. Normality and Shared Function Concerning Differential Polynomials[J].Acta mathematica scientia,Series A, 2018, 38(2): 222-230.

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References

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Normality and Shared Function Concerning Differential Polynomials

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