05/22/2014, 08:43 AM

How many C^oo ( or analytic ) solutions to tetration satisfy :

For all bases larger than eta for which the method works :

Property : sexp_a(x) > sexp_b(x)

For all a>b and x>1.

I used convention sexp_a(1) = a , sexp_b(1) = b here.

I could not find it here ?

I assume this property fails for base change and kneser.

I think it works for Cauchy contour method (kouznetsov?) and 2sinh method (tommy1729).

Maybe this has been said long ago.

regards

tommy1729

For all bases larger than eta for which the method works :

Property : sexp_a(x) > sexp_b(x)

For all a>b and x>1.

I used convention sexp_a(1) = a , sexp_b(1) = b here.

I could not find it here ?

I assume this property fails for base change and kneser.

I think it works for Cauchy contour method (kouznetsov?) and 2sinh method (tommy1729).

Maybe this has been said long ago.

regards

tommy1729