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+--- Thread: [2014] A note on abs (/showthread.php?tid=888)
[2014] A note on abs - tommy1729 - 06/15/2014
I noticed that for 0<a<1
|exp>(z)| > |exp^[a](z)| > |z| when |exp(z)| > |z|
and
|exp>(z)| < |exp^[a](z)| < |z| when |exp(z)| < |z|
never holds for all z.
This complicated many proof attempts of me in the past.
In particular sheldon's recent conjecture that Knesersexp(a + bi) for a>~ 0.5 reaches its max absolute value at Knesersexp(a).
See : http://math.eretrandre.org/tetrationforum/showthread.php?tid=882