| 多值函数中几个似是而非的结论 |
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| 引用本文： | 赵峰,谷云东.多值函数中几个似是而非的结论[J].松辽学刊,2010,31(1):139-140,143. |
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| 作者姓名： | 赵峰 谷云东 |
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| 作者单位： | [1]聊城大学数学科学学院,山东聊城252059 [2]华北电力大学数理学院,北京102206 |
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| 基金项目： | 国家自然科学基金，973国家重大基础研究计划基金，中国博士后科学基金，聊城大学科研资金 |
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| 摘 要： | 指出《复变函数论》教材中关于辐角函数的一个错误结论，讨论了对数函数与指数函数在复数域上几个似是而非的结论，并给出它们成立的充要条件．
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| 关 键 词： | 辐角函数 对数函数 幂函数 指数函数 |
Some Specious Conclusions on Multiple-valued Functions |
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| ZHAO Feng,GU Yun-dong.Some Specious Conclusions on Multiple-valued Functions[J].Songliao Journal (Natural Science Edition),2010,31(1):139-140,143. |
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| Authors: | ZHAO Feng GU Yun-dong |
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| Institution: | ZHAO Feng1,GU Yun-dong2(1.School of Mathematics Science,Liaocheng University,Liaocheng 252059,China,2.School of Mathematics , physics,North China Electric Power University,Beijing 102206,China) |
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| Abstract: | A rong conclusion about argument function is pointed out in the teaching material of Theory of complex variable functions,and some other specious conclusions are presented about logarithm function and exponent function.Moreover,the necessary and sufficient conditions for these questions are obtained. |
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| Keywords: | argument function logarithm function power function exponent function |
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