亚纯函数结合高阶导数的值分布The Value Distribution of a Meromorphic Function and It's Higher Derivative
李伟,张占亮
摘要(Abstract):
设f为超越亚纯函数,本文考虑f的多项式P[f]的高阶导数的Picard例外值。另外,对于f(f~(k))~n改进了Tse C K和Yang C C的结果。
关键词(KeyWords): 亚纯函数;多项式;Picard例外值
基金项目(Foundation):
作者(Author): 李伟,张占亮
DOI: 10.16393/j.cnki.37-1436/z.1997.04.002
参考文献(References):
- 1 Hayman W K. Meromorphic functions.Oxford, 1964
- 2 陈怀惠,方明亮.关于f~nf的值分布.中国科学(A),1995,25(2) :121
- 3 Hayman W K. Picard values of meromorphic functions and their derivatives. Ann. of Math, 1959,70: 9
- 4 Mues E. Uber ein Problem von Hayman. Math Z,1979,164: 239
- 5 Hennekemper G, hennekemper W. Complex Variables, 1985, (5) : 87
- 6 王跃飞.关于Mues猜测和Picard例外值.中国科学(A),1996,(6) :592
- 7 张占亮,李伟.整函数和亚纯函数多项式的导数.数学年刊,1994,15A(2) :217
- 8 Zhang Zhanliang, Li Wei. Exceptional Values of the derivative of polynomials for meromorphic functions.Complex Variables,1994, 24: 1
- 9 Doeringer W. Exceptional values of differential polynomials.Pacific J Math, 1982, 98(1) : 55
- 10 仪洪勋.关于微分多项式的几个结果.数学学报,1990,33(3) :302
- 11 张占亮.亚纯函数多项式结合其导数的零点.数学研究,1997,30(1) :46
- 12 Steinmentz N. Uber die Nullstellen von Differential Polynomen. Math Z, 1981, 176: 255
- 13 Tse C K, Yang C C. On the value distribution of f~l(f~(k))~n. Kodai Math J, 1994,17: 163
- 14 Hayman W K, Miles J. On the gorwth of a meromorphic function and its derivatives. Complex Variables,1989, 12: 245