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
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
