Math.BesselJ

Documentation

data BesselResult

Data type to store the result of a computation of the Bessel J-function. The fields are _result for the value, _errors for the error estimates of the integrals used for the computation, and _codes for the convergence codes of these integrals (0 for success).

Constructors

BesselResult

Fields

• _result :: Complex Double
• _errors :: (Double, Double)
• _codes :: (Int, Int)

Instances

Show BesselResult

Defined in Math.BesselJ

Methods

showsPrec :: Int -> BesselResult -> ShowS

show :: BesselResult -> String

showList :: [BesselResult] -> ShowS

besselJ

Arguments

:: Complex Double

order, integer or complex number with real part > -0.5

-> Complex Double

the variable, a complex number

-> Double

target relative accuracy for the integrals, e.g. 1e-5

-> Int

number of subdivisions for the integrals, e.g. 5000

-> IO BesselResult

result

Bessel-J function. It is computed with two integrals. The field _errors in the result provides the error estimates of the integrals. The field _codes provides the codes indicating success (0) or failure of each integral.