lambda {jacobi} | R Documentation |
Lambda modular function
Description
Evaluation of the lambda modular function.
Usage
lambda(tau, transfo = FALSE)
Arguments
tau |
a complex number with strictly positive imaginary part, or a vector or matrix of such complex numbers; missing values allowed |
transfo |
Boolean, whether to use a transformation of the values
of |
Value
A complex number, vector or matrix.
Note
The lambda function is the square of the elliptic modulus.
Examples
x <- 2
lambda(1i*sqrt(x)) + lambda(1i*sqrt(1/x)) # should be one
[Package jacobi version 3.1.1 Index]