lambda: Lambda modular function
In jacobi: Jacobi Theta Functions and Related Functions
lambda 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 tau close to the real line; using this option can fix some
failures of the computation (at the cost of speed), e.g. when the
algorithm reaches the maximal number of iterations
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
jacobi documentation built on Nov. 19, 2023, 1:08 a.m.
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| lambda | 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
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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