Normal families on sequence of omitted functions

YANG Liu; CHEN Qiao-yu

Issue 2

Mar. 2013

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YANG Liu, CHEN Qiao-yu. Normal families on sequence of omitted functions[J]. Journal of East China Normal University (Natural Sciences), 2013, (2): 154-159.

Citation:

YANG Liu, CHEN Qiao-yu. Normal families on sequence of omitted functions[J]. Journal of East China Normal University (Natural Sciences), 2013, (2): 154-159.

YANG Liu, CHEN Qiao-yu. Normal families on sequence of omitted functions[J]. Journal of East China Normal University (Natural Sciences), 2013, (2): 154-159.

Citation:

YANG Liu, CHEN Qiao-yu. Normal families on sequence of omitted functions[J]. Journal of East China Normal University (Natural Sciences), 2013, (2): 154-159.

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Normal families on sequence of omitted functions

1.
Department of Mathematics, East China Normal University, Shanghai 200241, China

Received Date: 2012-04-01
Rev Recd Date: 2012-07-01
Publish Date: 2013-03-25

Abstract

Abstract

Let~$\{f_{n}\}$~be a sequence of meromorphic functions on a domain~$D$,~all of whose zeros have multiplicity at least $ 3$,and each of which has a multiple pole. Let $\{h_{n}\}$~be a sequence of meromorphic functions on~$D$, such that~$\{h_{n}\}$~converges spherically locally uniformly to a function~$h$ which is meromorphic and zero-free on $D$. If~$f'_{n}\ne h_{n}$, then~$\{f_{n}\}$~is normal on~$D$.
- meromorphic function,
- normal family,
- sequence of omitted functions

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References(1)

References

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