02/17/2011, 11:56 PM
ive been willing to post this before , but i was busy with number theory.
although this might appear as a cheap spin-off , keep in mind that i have my clearly related " sinh method " for tetration.
hence this brings us towards very similar questions :
singularities and zero's of (2*sinh)^[1/2](z) ?
since 2*sinh(z) has a nice unique fixpoint at 0 , i was hoping to get more results than just the analogues of the posts about the zero's and singularities of exp^[1/2](z).
i also wonder how different / similar the plots look like.
( more formally , im intrested in the branch structures .. but i like nice pics too )
in fact , i think this may be more intresting than its somewhat random question appearance and might be 'key' in 'hacking' tetration.
btw , Riemann surfaces are important and i wonder ; didnt Riemann write about tetration ?
regards
tommy1729
although this might appear as a cheap spin-off , keep in mind that i have my clearly related " sinh method " for tetration.
hence this brings us towards very similar questions :
singularities and zero's of (2*sinh)^[1/2](z) ?
since 2*sinh(z) has a nice unique fixpoint at 0 , i was hoping to get more results than just the analogues of the posts about the zero's and singularities of exp^[1/2](z).
i also wonder how different / similar the plots look like.
( more formally , im intrested in the branch structures .. but i like nice pics too )
in fact , i think this may be more intresting than its somewhat random question appearance and might be 'key' in 'hacking' tetration.
btw , Riemann surfaces are important and i wonder ; didnt Riemann write about tetration ?
regards
tommy1729