09/12/2014, 06:35 PM
A few simpler questions for a change.
How does the difference between fake_exp^[0.5](z) and Kneser_exp^[0.5](z) look like ?
And how about the difference of fake_exp^[0.5](z) with 2sinh^[0.5](z) ?
In particular I consider there differences for Re(z) > 0.
It is tempting to conjecture where the difference is small , such as in the region where the fake f(z) satisfies f(f(z)) ~ exp(z) pretty well.
But a simple plot might disprove that.
Of course this relates to the difference of 2 sinh^[0.5](z) with Kneser_exp^[0.5](z) as well.
For positive reals this is all pretty Obvious ofcourse , but away from the real line the question becomes more serious.
regards
tommy1729
How does the difference between fake_exp^[0.5](z) and Kneser_exp^[0.5](z) look like ?
And how about the difference of fake_exp^[0.5](z) with 2sinh^[0.5](z) ?
In particular I consider there differences for Re(z) > 0.
It is tempting to conjecture where the difference is small , such as in the region where the fake f(z) satisfies f(f(z)) ~ exp(z) pretty well.
But a simple plot might disprove that.
Of course this relates to the difference of 2 sinh^[0.5](z) with Kneser_exp^[0.5](z) as well.
For positive reals this is all pretty Obvious ofcourse , but away from the real line the question becomes more serious.
regards
tommy1729
