[1]仇惠玲.分担有理函数的亚纯函数(英文)[J].南京师范大学学报(自然科学版),2007,30(01):6-13.
 Qiu Huiling.Meromorphic Functions That Share Rational Functions[J].Journal of Nanjing Normal University(Natural Science Edition),2007,30(01):6-13.
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分担有理函数的亚纯函数(英文)()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第30卷
期数:
2007年01期
页码:
6-13
栏目:
数学
出版日期:
2007-03-30

文章信息/Info

Title:
Meromorphic Functions That Share Rational Functions
作者:
仇惠玲;
南京审计学院应用数学系 江苏南京210029
Author(s):
Qiu Huiling
Department of Applied Mathematics,Nanjing Audit University,Nanjing 210029,China
关键词:
亚纯函数 整函数 有理函数 常数 惟一性
Keywords:
m eromorph ic fun ct ion en tire fun ct ion rat ion al function cons tan t un iquen ess
分类号:
O174.52
摘要:
研究亚纯函数的惟一性,证明如下结果:设p(z)和q(z)分别为n1和n2次多项式且互素,f(z)和g(z)是两个超越亚纯函数,n≥max{11,2n1+4n2+3}是一个正整数,如果fn(z)f′(z),gn(z)g′(z)分担有理函数p(z)/q(z)CM,则f(z)=c1Q(z)eα(z),g(z)=c2Q-1(z)e-α(z),这里c1,c2是两个常数,Q(z)是一个有理函数,α(z)是一个非常数多项式,满足(c1c2)n+1{Q′(z)/Q(z)+α′(z)}2≡-{p(z)/q(z)}2;或者f(z)≡tg(z),其中t是满足tn+1=1的常数.

参考文献/References:

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[ 5] Fang M L, Q iu H L. M erom orph ic func tions that share fix ed-po ints[ J]. JM a th Ana l and App,l 2000, 268: 426-439.
[ 6] Yang C C. On defic ienc ies of d ifferentia l po lynom ia ls II[ J]. M ath Z, 1972, 125: 107-112.
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[ 9] Y iH X, Yang C C. Un ic ity Theory o fM eromo rph ic Functions[M ]. Ber lin: Sc ience Press, 1995.

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备注/Memo

备注/Memo:
Foundation item: Supported by the N at iona lNatu ral Science Foundation of Ch in a( 10471065) .
Biography: QiuHuiling, born in 1957, fema le, p rofessor, m a jored in rat ional th eory. E-m ail:qiuhuiling1304@ sina. com
更新日期/Last Update: 2013-05-05