| Meromorphic functions sharing one value by weight |
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| 作者姓名： | LAI Li-ping LI Chun-hong |
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| 作者单位： | College of |
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| 摘 要： | The uniqueness of meromorphic fuctions sharing one value was studied. Using the concept of weighted sharing, we proved the following theorem. For two meromorphic functions f and g which are not polynominals of degree less than a positive integer k, if f nf (k) and g ng (k) share (1,2), where n is another positive integer not less than k 10, then f nf (k) identically equals g ng (k) or f nf (k)g ng (k) identically equals 1. Particularly for k =1, we improved the results of Yang Yang CC, Hua XH, Uniqueness and value-sharing of meromorphic functions, Annales Academi? Scientiarum Fennic? Mathematica, 1997, 22: 395-406], and Fang Fang ML, Hua XH, Entire function that share one value, Journal of Nanjing University, 1996, 13(1): 44-48. (In Chinese)].
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| 关 键 词： | 唯一性 亚纯函数 数学理论 计算方法 |
| 文章编号： | 1671-8224（2007）04-0278-05 |
| 收稿时间： | 2007-03-03 |
| 修稿时间： | 2007-05-08 |
Meromorphic functions sharing one value by weight |
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| LAI Li-ping LI Chun-hong.Meromorphic functions sharing one value by weight[J].Journal of Chongqing University,2007,6(4):278-282. |
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| Authors: | LAI Li-ping LI Chun-hong |
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| Abstract: | The uniqueness of meromorphic fuctions sharing one value was studied. Using the concept of weighted sharing, we proved the following theorem. For two meromorphic functions f and g which are not polynominals of degree less than a positive integer k, if f nf (k) and g ng (k) share (1,2), where n is another positive integer not less than k 10, then f nf (k) identically equals g ng (k) or f nf (k)g ng (k) identically equals 1. Particularly for k =1, we improved the results of Yang Yang CC, Hua XH, Uniqueness and value-sharing of meromorphic functions, Annales Academi? Scientiarum Fennic? Mathematica, 1997, 22: 395-406], and Fang Fang ML, Hua XH, Entire function that share one value, Journal of Nanjing University, 1996, 13(1): 44-48. (In Chinese)]. |
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| Keywords: | uniqueness weighted share meromorphic |
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