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Relations of Lambert W function with Hypergeometric function

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

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

Is there any relationships about these two functions ? ı didn't see any article about it.

I also want to ask Lambert w function can be written inverse of Hypergeometric functions? Why or why not? Thanks for your answers and references.