拉格朗日反演与朗伯特反演

2015 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC) Pub Date : 2015-09-21 DOI:10.1109/SYNASC.2015.16

D. J. Jeffrey, G. Kalugin, N. Murdoch

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引用次数: 5

摘要

我们证明了拉格朗日反演可以用来获得Lambert W函数的一系列展开式的封闭形式表达式。同样地，我们得到了n阶导数的表达式。与级数展开相关的各种整数序列现在可以用封闭形式表示。

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Lagrange Inversion and Lambert W

We show that Lagrange inversion can be used to obtain closed-form expressions for a number of series expansions of the Lambert W function. Equivalently, we obtain expressions for the nth derivative. Various integer sequences related to the series expansions now can be expressed in closed form.

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2015 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)

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