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meromorphic idea
#1
i was thinking about tetration and came up with important questions.

for the 3rd time !!

are there meromorphic functions f(x) so that they commute with exp(x) ?

thus :

exp(f(x)) = f(exp(x))


related 2nd question :

t ( t(x) ) = exp(x) ( any real analytic t(x) )

g(x) a meromorphic function


t(x) = inverse_g( 1-fixpoint-regular-half-iterate[ exp(g(x)) ] )


related 3rd question :

q(x) a meromorphic function

t ( t(x) ) = exp(x) ( any real analytic t(x) )

1-fixpoint-regular-half-iterate[ exp(q(x)) ] = t( q(x) )



thanks in advance

regards

tommy1729
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Messages In This Thread
meromorphic idea - by tommy1729 - 05/13/2009, 04:52 PM
RE: meromorphic idea - by andydude - 05/13/2009, 09:51 PM
RE: meromorphic idea - by tommy1729 - 05/13/2009, 11:18 PM

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