Can you count the letter "l" in:
Actually, the half iterate is really well behaved in the complex plane, if you follow the well behaved branch for real(z)>0, especially as compared to Tetration, so something like that should work. There are singularities at L, and at z+pi i, I need to remember where the singularities are; Mike has done a nice complex plane plot where if you put the branches at L, The singularity at L, L* are the only two singularities you see.
Welllll!!! If that's so I have a different proposal for you.
Take . If it is holo in (i.e. the half iterate of the exponential has no zeroes) and If we can show for and THEN!
Transforming the mellin transform into a fourier transform is easily done by looking at the inverse mellin transform. Then we can talk about some bounded conditions. I suggest if you want to know what I'm talking about and where this comes from, to read the paper I posted in the other thread on tetration. It's all rigorously shown, and is quite simple and elegant, but remarkably powerful so far.
Tell me what you think, maybe we can do this with as well, with ?
user
In the text, there are 58 "l"s.
assistant