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Searching for an asymptotic to exp[0.5]
Exercise 1 a)

What entire functions are asymptotic to exp^[0,5](x) for positive real x and has no zero in the complex plane ?

Answer : g(z) = exp(fake_ln(+fake_semi_exp(z)))


Exercise 1 b)

Show growth(g) is always between 0,5 and 2,5 for fixed arg(z).

Hint : investigate fake_ln.

Plot g(g)

Exercise 2)


What entire functions h are asymptotic to exp^[0,5](x) for positive real x and satisfy that h(s) = 0 IFF s = L or L* ?

I think we are close to finishing page 1 in the " fake function theory book " .

Regards

Tommy1729
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Messages In This Thread
RE: Searching for an asymptotic to exp[0.5] - by tommy1729 - 07/18/2015, 09:56 PM

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