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