关于单位圆内代数体函数的Borel点

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30D30

ZHANG Hong-Shen, SUN Dao-Chun. On the Borel Points of Algebroid Functions in the Unit Circle[J].Acta mathematica scientia,Series A, 2011, 31(6): 1512-1520.

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[1] 何育赞, 萧修治. 代数体函数与常微分方程. 北京: 科学出版社, 1988

[2] Lu Qian, Gu Yongxing. On Nevanlinna directions of algebroid functions. Acta Mathematica Scientia, 2005, 25B(2): 367--375

[3] 孙道椿. 单位圆内半纯函数Nevanlinna点的存在性定理. 武汉大学学报(自然科学版), 1984, 4(2): 1--10

[4] 庄圻泰. 亚纯函数的奇异方向. 北京: 科学出版社, 1982: 113--116

[5] 孙道椿. Nevanlinna方向的存在性定理. 数学年刊, 1986, 7A(2): 212--221

[6] 李纯红, 孙道椿. 单位圆内拟亚纯映射的Nevanlinna点. 数学物理学报, 2004, 24A(2): 157--163

[7] Gan Huilin, Sun Daochun. The Borel point for algebroid functions with multiple values. J of Math (PRC), 2007, 27(5): 493--498

[8] 张洪申. 关于单位圆内有限正级代数体函数的奇异点. 西南师范大学学报(自然科学版), 2009, 34(5): 36--40

[9] 张洪申, 吴昭君. 单位圆内无限级代数体函数的Borel点.  数学的实践与认识, 2010, 40(11): 180--185

[10] Toda N. Sur les directions de Julia et de Borel des functions algebroides. Nagoya Math Journal, 1969, 34: 1--23

[11] 吕以辇, 顾永兴. 关于代数体函数的Borel方向的存在性. 科学通报, 1983, 3(5): 264--266

[12] 吴昭君, 孙道椿. 代数体函数的一类新的奇异方向. 数学物理学报, 2008, 28A(5): 879--885

[13] 甘会林, 孙道椿. 零级代数体函数的强Borel方向. 数学物理学报, 2005, 25A(5): 673--677

[14] 孙道椿. 单位圆内半纯函数与其导数的公共Borel点. 数学物理学报(英文版), 1984, 4(2): 227--232

[15] 孙道椿. 关于Borel点的充分必要条件. 数学杂志, 1988, 7(4): 401--410

[16] 张洪申. 关于亚纯代数体函数的奇异方向. 数学物理学报, 2009, 29A(6): 1642--1650

[17] 孙道椿, 高宗升. On the operations of algebroid functions. Acta Mathematica Scientia, 2010, 30B(1): 247--256

On the Borel Points of Algebroid Functions in the Unit Circle

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