using sinh(x) ?

[sheldonison]

its not a matter of " helping " its a matter of being consistant.

x is free to choose and so is z.

i think it is easiest to understand that for fixed x , we have a sexp kind of function starting at value x and for fixed z we have slog kind of function.

from my post it should be clear that L and L* lie at oo i for the sexp interpretation of my formula.

there is no drawback , with respect but i think you are confused.

regards

tommy1729

L and L* are the fixed point of the superfunction of exp(x). That superfunction of exp(x) has limiting values of L, L* and +/- i*infinity respectively. But the superfunction of 2sinh is periodic in the imaginary direction with period z=i*2pi/ln(2), so I don't understand how L and L* lie at oo i for the sexp interpretation of your formula.