YANG De-gui, ZHANG Kun-yi. Dynamics of meromorphic functions[J]. Journal of South China Agricultural University, 2005, 26(4): 114-117. DOI: 10.7671/j.issn.1001-411X.2005.04.029
Citation:
YANG De-gui, ZHANG Kun-yi. Dynamics of meromorphic functions[J]. Journal of South China Agricultural University, 2005, 26(4): 114-117. DOI: 10.7671/j.issn.1001-411X.2005.04.029
YANG De-gui, ZHANG Kun-yi. Dynamics of meromorphic functions[J]. Journal of South China Agricultural University, 2005, 26(4): 114-117. DOI: 10.7671/j.issn.1001-411X.2005.04.029
Citation:
YANG De-gui, ZHANG Kun-yi. Dynamics of meromorphic functions[J]. Journal of South China Agricultural University, 2005, 26(4): 114-117. DOI: 10.7671/j.issn.1001-411X.2005.04.029
1 .College of Sciences, South China Agric. Univ. , Guangzhou 510642, China; 2. Department of radiation oncology,cancer center,SunYat-sen University, Guangzhou 510275, China
In this paper, the normality of the family of inverse branches of meromorphic functions is investigated. First, a result obtained by Baker is extended. Second, by using the extended result, it is proved that all limit functions of the family of inverse branches of meromorphic functions f are complex constant and belong to the Julia set off, which are all defined and regular in the some complex domain D.