Ivars, please dont post completely unrelated things!
Before you reply you should at least have a base understanding what you are replying to! You can not just throw in your ideas because of similar sounding words like "imaginary exponentiation" that even are explained in the same paragraph to have a different meaning.
Taking powers with complex exponents is a well explored area, there is nothing mysterious about it, its even tought at highschool.
However taking the I-th iteration of a function \( f^{\circ I} \) is a rather unknown area and barely connected to the I-th power. And *this* was discussed by Jay here in this thread for \( f(z)=b^z \).
Before you reply you should at least have a base understanding what you are replying to! You can not just throw in your ideas because of similar sounding words like "imaginary exponentiation" that even are explained in the same paragraph to have a different meaning.
Taking powers with complex exponents is a well explored area, there is nothing mysterious about it, its even tought at highschool.
However taking the I-th iteration of a function \( f^{\circ I} \) is a rather unknown area and barely connected to the I-th power. And *this* was discussed by Jay here in this thread for \( f(z)=b^z \).
