论文标题
兰伯特$ W $ - 功能分支的身份
Lambert $W$-Function Branch Identities
论文作者
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.