[Date Index] [Thread Index] [Author Index]
Re: Distinguished logarithm, branch cuts, etc.
> You have to be careful here. Provided z[u] can never take on purely > imaginary > values possible modification could be > > (z[u]^2)^(nu/2)*BesselI[nu, z[u]]/(z[u])^nu > > or equivalently > > BesselI[nu, Sqrt[ z[u]^2] ] > > Oleksandr Pavlyk > Wolfram Research Thanks, Oleksandr. Unfortunately my z[u] spirals around the origin in the complex z-plane. So purely imaginary values are common. Here is a somewhat simplified example. Look at a parametric plot from u = 0 to u=10 for this z[u]: z[u] = f[u]/f, where f[u] = E^(20 (Sqrt[1/4 + (1 - rho^2) u^2 + I (rho - 1) u] - Sqrt[1-rho^2] u ) ), with say rho = -0.8. Any suggestions for this type of spiraling z[u]? regards, alan