|Jacobian elliptic cn(u,m) function
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|Author:||DavidR [ Fri Mar 10, 2017 10:55 pm ]|
|Post subject:||Jacobian elliptic cn(u,m) function|
On page 6 of this paper (https://arxiv.org/ftp/arxiv/papers/1509/1509.06344.pdf) a conformal mapping is outlined from unit disc to unit square. The mapping requires the Jacobian elliptic function cn() and the incomplete Legendre elliptic integral of the first kind. (see page 19 for a more in-depth discussion)
AlgLib appears to have these functions, but it seems as though they are only defined for real values? The mapping requires both the imaginary and the real components. Though to be fair this is my first 10 minutes with AlgLib so I may well have missed something.
Does AlgLib in fact have the functionality I need and how does one invoke it? I'm doing this in C#.
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