Introducing new special function : Lambert_t(z,r)

[tommy1729]

For reasons I will explain later , I need to introduce a new special function.
Well some might have used it before or named it before , but most consider it nonstandard.

For complex z , integer r :

Lambert_t(z,r) is the functional inverse of

ln^[r](z) z.

regards

tommy1729

"Proof means to show both "truth" and "why"."
tommy1729

[andydude]

Lambert_t(z,r) is the functional inverse of
ln^[r](z) z.

I believe this is the same as Galidakis HW function.

[tommy1729]

Lambert_t(z,r) is the functional inverse of
ln^[r](z) z.

I believe this is the same as Galidakis HW function.

I do not think so.

I believe HW is the functional inverse of functions like

Z 2^(3^Z)

And

Z 5^(17^(55^Z))

Regards

Tommy1729