Interesting value for W, h involving phi,Omega?

[Ivars]

To finalize one even more interesting finding:

Here is probably well known feature, anyway interesting value of W:

W( -ln( ((e^I)/I) ^ (I/(e^I))) = ((pi/2)-1)*I = lnI - I=lnI-ln(e^-I)=ln(I*e^I)

W(-ln(((I*e^-I)^(1/(I*e^-I) = -((pi/2)-1)*I = (1-pi/2)*I = -lnI+I= -lnI+ln(e^I)= ln((e^I)/I)

correspondingly:

h( ((e^I)/I) ^ (I/(e^I))) = -I* e^I = sin1-I*cos1

h((I*(e^-I)^(1/I*(e^-I))= I*e^-I = -sin(-1)+I*cos1

and also :

-I*e^I= e^((-pi/2)I+I)= e^(1-pi/2)*I
I*e^-I=e^((pi/2)*I-I)=e^(pi/2-1)*I

are rather specific rotations in complex plane.

Ivars