论文标题

兰伯特$ W $ - 功能分支的身份

Lambert $W$-Function Branch Identities

论文作者

Cohen, Henri

论文摘要

在详细定义了Lambert $ W $功能分支之后,我们提供了涉及这些分支的(无限)对称函数的大量确切身份,以及所有分支的几何收敛序列。在这样做的过程中,我们介绍了一个可能具有独立关注的多项式家庭。

After defining in detail the Lambert $W$-function branches, we give a large number of exact identities involving (infinite) symmetric functions of these branches, as well as geometrically convergent series for all the branches. In doing so, we introduce a family of polynomials which may be of independent interest.

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