亏函数为有理函数的Nevanlinna方向及偏差定理.pdf

亏函数为有理函数的Nevanlinna方向及偏差定理.pdf

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1、学校代码:10663学号:4201310000349贵贵贵州州州师师师范范范大大大学学学硕硕硕士士士学学学位位位论论论文文文亏亏亏函函函数数数为为为有有有理理理函函函数数数的的的Nevanlinna方方方向向向及及及偏偏偏差差差定定定理理理Nevanlinnadirectioninwhichdeficientfunctioncanberationalfunctionanddistortiontheorem专业名称:基础数学专业代码:070101研究方向:函数论申请人姓名:曹娜导师姓名:伍鹏程(教授)二零一六年五月目录摘摘摘要

2、要要···························································································IAbstract···························································································II1引引引言言言与与与主主主要要要结结结果果果················································

3、································11.1国内外研究现状及研究意义··························································11.2本文相关记号············································································21.3主要结果·································································

4、·················42亏亏亏函函函数数数为为为有有有理理理函函函数数数的的的Nevanlinna方方方向向向···················································52.1引言与结果···············································································52.2引理··························································

5、······························62.3定理2.1.的证明··········································································73共共共形形形映映映射射射下下下偏偏偏差差差定定定理理理的的的简简简单单单研研研究究究··························································93.1引言与结果·····································

6、·········································93.2引理························································································103.3定理3.1.,定理3.2.,定理3.3.的证明···················································124总总总结结结和和和展展展望望望·································

7、·····················································14参参参考考考文文文献献献····························································································15附附附录录录···························································································17致致致谢谢

8、谢···························································································18原原原创创创性性性声声声明明明····································

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