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WANG Xiao-jing, PANG Xue-cheng. Normal Families Concerning Differential Polynomial[J]. Journal of East China Normal University (Natural Sciences), 2004, (3): 6-10.
Citation:
WANG Xiao-jing, PANG Xue-cheng. Normal Families Concerning Differential Polynomial[J]. Journal of East China Normal University (Natural Sciences), 2004, (3): 6-10.
WANG Xiao-jing, PANG Xue-cheng. Normal Families Concerning Differential Polynomial[J]. Journal of East China Normal University (Natural Sciences), 2004, (3): 6-10.
Citation:
WANG Xiao-jing, PANG Xue-cheng. Normal Families Concerning Differential Polynomial[J]. Journal of East China Normal University (Natural Sciences), 2004, (3): 6-10.
In this paper a general normal criterion is obtained, which improves the results given by Gu YX[1] and Zhu JH[2]. Let F be a family of meromorphic functions on domain D, all of whose zeros are of multiplicity at least m+3. Let h≠0, a0, a1, …, am-1 be holomorphic functions on D. If for any f∈F, L(f)(z)=f(m)(z)+am-1(z)f(m-1)(z)+…+a1(z)f′(z)+a0(z)f(z)≠h(z), z∈D, then F is normal on D.