[1]涂金,黄海霞,徐洪焱,等.单位圆内亚纯函数与解析函数的级与型[J].江西师范大学学报(自然科学版),2013,(05):449-452.
 TU Jin,HUANG Hai-xia,XU Hong-yan,et al.The Order and Type of Meromorphic Functions and Analytic Functions in the Unit Disc[J].,2013,(05):449-452.
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单位圆内亚纯函数与解析函数的级与型()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2013年05期
页码:
449-452
栏目:
出版日期:
2013-10-31

文章信息/Info

Title:
The Order and Type of Meromorphic Functions and Analytic Functions in the Unit Disc
作者:
涂金;黄海霞;徐洪焱;陈春芳
江西师范大学数学与信息科学学院,江西南昌,330022;景德镇陶瓷学院信息工程学院,江西景德镇,333403
Author(s):
TU Jin;HUANG Hai-xia;XU Hong-yan;CHEN Chun-fang
关键词:
单位圆亚纯函数解析函数
Keywords:
unit discmeromorphic functionanalytic functionordertype
分类号:
O174.52
文献标志码:
A
摘要:
利用Nevanlinna值分布理论对单位圆内具有相同增长级和不同型的亚纯函数与解析函数f1(z)与f2(z)四则运算后的级、下级和型进行了研究,得到了一些结果,完善了原有的一些结论.
Abstract:
The order,lower order and type of f1+f2,f1f2,f1/f2are investigated by using the Nevanlinna value distribution theory,where f1(z),f2(z)are meromorphic functions or analytic functions with the same order and different type in the unit disc,and some results are obtained which improve some previous results.

参考文献/References:

[1] 杨乐.值分布理论及其新研究 [M].北京:科学出版社,1982.
[2] 仪洪勋,杨重骏.亚纯函数唯一性理论 [M].北京:科学出版社,1995.
[3]Hayman W K.Meromorphic functions [M].Oxford:Clarendon Press,1964.
[4]Tsuji M.Potential theory in modern function theory [ M].Tokyo:Maruzen Press,1959.
[5]Sons L R.Unbouned functions in the unit disc [J].Internet J Math Sci,1983,6(2):201-242.
[6] Heittokangas J.On complex linear differential equations in the unit disc [J].Ann Acad Sci Fenn Math Diss,2000,122:1-54.
[7] 涂金,邓冠铁.系数A0起支配作用的高阶线性微分方程解的增长性 [J].数学物理学报,2010,30A(4):945-952.
[8] 陈宗煊.一类单位圆内微分方程解的性质 [J].江西师范大学学报:自然科学版,2002,26(3):189-190.
[9] 毛志强,吴 蝶.单位圆内解析函数的一个性质 [J].江西师范大学学报:自然科学版,2011,35(6):608-609.
[10] Levin B J.Distribution of zeros of entire functions [M].Providence:Amer Math Soc,1980.
[11] Bank S S.A general theorem concerning the growth of solutions of first-order algebraic differential equations [J].Composition Math,1972,25(1):61-70.
[12] Hayman W K.On the characteristic of functions meromorphic in the unit disk and of their integrals [J].Acta Math,1964,112(1):181-214.

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备注/Memo

备注/Memo:
国家自然科学基金(11171119);江西省自然科学基金(20132BAB211002,20122BAB211005)
更新日期/Last Update: 1900-01-01