eta {elliptic} | R Documentation |
Dedekind's eta function
Description
Dedekind's function
Usage
eta(z, ...)
eta.series(z, maxiter=300)
Arguments
z |
Complex argument |
... |
In function |
maxiter |
In function |
Details
Function eta()
uses Euler's formula, viz
Function eta.series()
is present for validation (and interest)
only; it uses the infinite product formula:
Author(s)
Robin K. S. Hankin
References
K. Chandrasekharan 1985. Elliptic functions, Springer-Verlag.
See Also
Examples
z <- seq(from=1+1i,to=10+0.06i,len=999)
plot(eta(z))
max(abs(eta(z)-eta.series(z)))
[Package elliptic version 1.4-0 Index]