| 关于代数体函数的亏量及其增长性质 |
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| 引用本文： | 杨连中. 关于代数体函数的亏量及其增长性质[J]. 山东大学学报(理学版), 1995, 0(3) |
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| 作者姓名： | 杨连中 |
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| 作者单位： | Dept. of Math.，Shandong Univ.，Jinan |
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| 摘 要： | 设ｆ（ｚ）为ｎ值的超越代数体函数，本文证明了：如果ｆ（ｚ）具有ｎ＋１个Ｂｏｒｅｌ例外函数，则ｆ（ｚ）是正规增长的；此外，还给出了代数体函数椭圆定理的一般形式．
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| 关 键 词： | 代数体函数；增长特性；亏量；Borel例外函数 |
ON THE DEFICIENCIES AND GROWTH PROPERTIIES OF ALGEBROID FUNCTIONS |
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| Yang Lianzhong. ON THE DEFICIENCIES AND GROWTH PROPERTIIES OF ALGEBROID FUNCTIONS[J]. Journal of Shandong University, 1995, 0(3) |
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| Authors: | Yang Lianzhong |
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| Abstract: | Let f(z) be an algebroid functions defined by the following irreducible equation where Aj(j=0, 1, 2, ..,n)are entire functions without common zeros. It is proved that if f(z)has n+1 Borel exceptional entire functions,then the order of f(z) is an integer or infinite and f(z)is of regular growth. Also,a generalized elliptic theorem of algebroid functions is given. |
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| Keywords: | algebroid function growth properties deficiency Borel exceptional functions |
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