Font Size: a A A

Normal Families And Sequence Of Omitted Functions

Posted on:2013-02-13Degree:MasterType:Thesis
Country:ChinaCandidate:L YangFull Text:PDF
GTID:2210330374967422Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper we derive the following results:Let{fn}be a sequence of meromorphic functions on a domain D, all of whose zeros have multiplicity at least3and each of which has only one multiple pole.Let{hn} be a sequence of meromorphic functions on D, such that{hn} converges spherically locally uniformly to a function h which is meromorphic and zero-free on D. Suppose that fn'≠h, then{fn} is normal on D.Furthermore,we studied Montel normal criterion and another normal family concerning omit-ted function.
Keywords/Search Tags:meromorphic functions, normal family, Sequence of omitted functions
PDF Full Text Request
Related items