Taylor series of Lambert W function $W_{-1}(x)$

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Is possibile to find the closed form for the Taylor series of Lambert W function $W_{-1}(x)$? What do you think? On Wikipedia there is the Taylor series of $ W_0$ around $0$.

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As Antonio said, it's not a Taylor series. According to the Maple help page for LambertW there's a rather complicated expansion involving log and log log. Details can be found in Corless, Gonnet, Hare, Jeffrey and Knuth, "On the Lambert W Function"