Andrew Robbins' Tetration Extension

[jaydfox]

i want andrew robbins to compute slog(A) ( exp(A) = A )

That is indeterminate.

How do you mean " indeterminate " ?

as in oo ? as in undefined ?

isnt andrew slog supposed to be defined for all complex z ?

didnt he claim that ?


Regards

tommy1729

I suppose a direct analogy is best. The logarithm is the Abel function of multiplication, and multiplication has 0 as a fixed point. So what, pray tell, is log(0)?

In the same way that log(0) is indeterminate, so too is slog(A), where A is a fixed point of exponentiation.

Of course, the real part of log(0) is negative infinity, but the imaginary part is undefined (any value would work). For the slog(A), the imaginary part is infinity (or negative infinity), but the real part is undefined.