亚纯函数的picard例外集
, PP. 26-32
Keywords: 整函数,亚纯函数,picard例外集,ε集
Abstract:
证明了如果f(z)是超越亚纯函数,满足δ(∞,f)>0,n,k为正整数且满足n≥k+2,则存在一列趋于∞的小圆盘,使得(fn)(k)在这列小圆盘外取任何有穷非零复数无穷多次.
References
[1] | 杨乐.值分布论及其新研究[m].北京:科学出版社,1982.
|
[2] | haymanwk.picardvaluesofmermorphicfunctionandtheirderivatives[j].annofmath,1959,70(2):9-42.
|
[3] | cluniej.onaresultofhayman[j].jlondonmathsoc,1967,42:389-392.
|
[4] | andersonjm,bakerin,cluniejg.thedistributionofvaluesofcertainentireandmeromorphicfunction[j].mathz,1981,178:509-525.
|
[5] | langleyjk.analoguesofpicardsetforentirefunctionandtheirderivatives[j].contemporarymath,1983,25:75-86.
|
[6] | chenhh.yoshidafunctionsandpicardvaluesofintegralfunctionsandtheirderivatives[j].bullaustralmathsoc,1996,54:373-381.
|
[7] | 詹小平,蔡海涛.亚纯函数的例外集[j].数学学报,2001,44(4):657-666.
|
[8] | ahlforslv.complexanalysis[m].newyork:mcgraw-hillbookcompany,1966.
|
[9] | 王品玲.整函数导数的picard例外集[j].数学学报,2009,52(5):961-968.
|
[10] | wangyf,fangml.picardvaluesandnormalfamiliesofmermorphicfunctionswithmultiplezeros[j].actamathematicasinica,1998,14(1):17-26.
|
Full-Text