排序方式: 共有52条查询结果,搜索用时 15 毫秒
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1972年, Gross提出了下述有趣的问题:如果f(z)是非常数整函数,而且f(f(z))是周期函数,那么f(z)一定也是周期函数吗?关于这一问题,本文证明了如下结果:如果f(z)是非常数整函数,f(f(z))是以τ为周期的周期函数,且f′(z+nτ)(n=0, 1, 2,...)在复平面C上不局部一致收敛于0,则f(z)也是周期函数. 相似文献
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主要证明了两个非常数的常系数指数多项式,如果在复平面中4个张角严格大于π的每一个角域内都有1个有穷的CM分担值,且这4个分担值是判别的,则它们必然恒等. 相似文献
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设■:D→R~3确定了以等温参数表示的极小曲面M,其中D是全平面R~2的开子区域,那么极小曲面的Gauss映射g(z)是D上的亚纯函数.Xavier与Chao提出了一个尚未解决的问题:任意给定区域■上的亚纯函数g(z),它是否是某完备极小曲面的Gauss映射?本文证明了若开平面C上的亚纯函数g(z)的零点列或极点列的收敛指数小于1/2,则g(z)—定是某完备极小曲面的Gauss映射. 相似文献
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缺项幂级数表示的超越整函数Fatou分支有界性 总被引:1,自引:0,他引:1
讨论了几类用缺项幂级数表示的超越整函数Fatou集分支的有界性,并给出了其Fatou分支均有界的充分条件. 相似文献
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Coloured conical emission (CCE) is investigated experimentally in a β-barium borate crystal excited by intense second harmonic femtosecond pulses. Contrary sequences of green and red conical emission with variable diameters are observed at different incidence angles, which is consistent with the calculation results based on the phase matching condition. As its broad range spectrum, CCE offers an alternative means to produce an ultrafast broadband light source. It is found that the spectrum of green CE shifts toward longer wavelengths as the length of BBO crystal increased. 相似文献
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The time-domain ABCD matrix formalism is based on the propagation of a Gaussian pulse which is characterized by the pulsewidth and chirp. In this paper, the time-domain ABCD matrix of th SPM (self phase modulation) is perfected so as to acquire more information. With the time-domain ABCD matrices of amplitude modulation, filtration from the optical bandpass, group velocity dispersion and SPM, the detailed characteristics of actively mode-locked fiber laser are described and the steady-state solutions are derived for two simple cases. The application of the formalism is also helpful to understand the mechanism of mode-locking in an actively mode-locked fiber laser. 相似文献
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This paper studies the Nevanlinna second fundamental theorem,and the extra term εT(r,f) in the n-small-functions theorem of Steinmetz is removed. 相似文献
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采用纳米球蚀刻技术在石英衬底上制备了不同高度的金纳米颗粒阵列.通过扫描电子显微镜对其表面形貌进行了观测,表明金纳米颗粒为有序分布的三棱柱结构.通过红外—紫外吸收光谱仪在190—900nm波长范围内对其光吸收特性进行了测量, 并成功观测到了金纳米颗粒表面等离子体振荡效应引起的光吸收峰,结果表明随着金纳米颗粒高度的增加,其吸收峰的位置向短波方向移动(蓝移).同时对金纳米颗粒的光吸收特性进行了基于离散偶极子近似的理论计算,并与实验结果进行了比较.
关键词:
纳米球蚀刻技术
金纳米颗粒
离散偶极子近似 相似文献
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关于整函数在复合意义之下的因子分解李玉华(云南师范大学数学系,昆明650092)关键词整函数,因子分解.分类号AMS(1991)30D20/CCLO174.52如存在亚纯函数f与g,使亚纯函数F=fg,则称F具有左因子f和右因子g,fg为F的一... 相似文献