Lambert W Function is defined https://en.wikipedia.org/wiki/Lambert_W_function

Hypergeometric Function is defined https://en.wikipedia.org/wiki/Hypergeometric_function

$e^{-c x}=d \frac{\left(x-a_{0}\right)\left(x-a_{1}\right) \cdots\left(x-a_{n}\right)}{\left(x-b_{0}\right)\left(x-b_{1}\right) \cdots\left(x-b_{m}\right)}$

I read from https://www.quora.com/How-is-the-Lambert-W-function-derived This equation has some analogies in Hypergeometric functions as well.

I also want to ask Lambert W Function can be written inverse of Hypergeometric functions? Or are there any relationship about them? Thanks for your answers and references.