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Lambert W函数性质及其应用
引用本文:龙敏,周铁军.Lambert W函数性质及其应用[J].衡阳师范学院学报,2011,32(6):38-40.
作者姓名:龙敏  周铁军
作者单位:湖南农业大学理学院,湖南长沙,410128
摘    要:介绍了Lambert W函数的代数及图像性质,如该函数的级数展开式、微分及函数在复平面的图像等。总结了其在数学、物理、化学和生物等领域的应用情况。

关 键 词:Lambert  W函数  时滞微分方程  外延薄膜临界厚度  传染病模型  非晶相活化能

A Survey of Properties and Applications of the Lambert W Function
LONG Min,ZHOU Tie-jun.A Survey of Properties and Applications of the Lambert W Function[J].journal of Hengyang Normal University,2011,32(6):38-40.
Authors:LONG Min  ZHOU Tie-jun
Institution:(College of Science,Hunan Agricultural University,Changsha Hunan 410128,China)
Abstract:In this paper, several properties of the Lambert W function are described, such as series expansion and differential calculus of the function and its images in the complex plane. Applications in mathematics, physics, chemistry and biology" and other fields are summarized.
Keywords:Lambert W function  delay differential equation  critical thickness of epitaxial thin film  epidemics model  activationenergy of amorphous phase
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