elliptic-integrals-0.1.0.1: Carlson Elliptic Integrals and Incomplete Elliptic Integrals
Safe HaskellSafe-Inferred
LanguageHaskell2010

Math.EllipticIntegrals

Synopsis

Documentation

ellipticF' Source #

Arguments

:: Double

bound on the relative error passed to carlsonRF`

-> Complex Double

amplitude

-> Complex Double

parameter

-> Complex Double 

Elliptic integral of the first kind.

ellipticF Source #

Arguments

:: Complex Double

amplitude

-> Complex Double

parameter

-> Complex Double 

Elliptic integral of the first kind.

ellipticE' Source #

Arguments

:: Double

bound on the relative error passed to carlsonRF` and carlsonRD`

-> Complex Double

amplitude

-> Complex Double

parameter

-> Complex Double 

Elliptic integral of the second kind.

ellipticE Source #

Arguments

:: Complex Double

amplitude

-> Complex Double

parameter

-> Complex Double 

Elliptic integral of the second kind.

ellipticPI' Source #

Arguments

:: Double

bound on the relative error passed to carlsonRF` and carlsonRJ`

-> Complex Double

amplitude

-> Complex Double

characteristic

-> Complex Double

parameter

-> Complex Double 

Elliptic integral of the third kind.

ellipticPI Source #

Arguments

:: Complex Double

amplitude

-> Complex Double

characteristic

-> Complex Double

parameter

-> Complex Double 

Elliptic integral of the third kind.

jacobiZeta' Source #

Arguments

:: Double

bound on the relative error passed to ellipticF` and ellipticE`

-> Complex Double

amplitude

-> Complex Double

parameter

-> Complex Double 

Jacobi zeta function.

jacobiZeta Source #

Arguments

:: Complex Double

amplitude

-> Complex Double

parameter

-> Complex Double 

Jacobi zeta function.

carlsonRF Source #

Arguments

:: Complex Double

first variable

-> Complex Double

second variable

-> Complex Double

third variable

-> Complex Double 

Carlson integral RF.

carlsonRF' Source #

Arguments

:: Double

bound on the relative error

-> Complex Double

first variable

-> Complex Double

second variable

-> Complex Double

third variable

-> Complex Double 

Carlson integral RF.

carlsonRD Source #

Arguments

:: Complex Double

first variable

-> Complex Double

second variable

-> Complex Double

third variable

-> Complex Double 

Carlson integral RD.

carlsonRD' Source #

Arguments

:: Double

bound on the relative error

-> Complex Double

first variable

-> Complex Double

second variable

-> Complex Double

third variable

-> Complex Double 

Carlson integral RD.

carlsonRJ Source #

Arguments

:: Complex Double

first variable

-> Complex Double

second variable

-> Complex Double

third variable

-> Complex Double

fourth variable

-> Complex Double 

Carlson integral RJ.

carlsonRJ' Source #

Arguments

:: Double

bound on the relative error

-> Complex Double

first variable

-> Complex Double

second variable

-> Complex Double

third variable

-> Complex Double

fourth variable

-> Complex Double 

Carlson integral RJ.

carlsonRC Source #

Arguments

:: Complex Double

first variable

-> Complex Double

second variable

-> Complex Double 

Carlson integral RC.

carlsonRC' Source #

Arguments

:: Double

bound on the relative error

-> Complex Double

first variable

-> Complex Double

second variable

-> Complex Double 

Carlson integral RC.

carlsonRG Source #

Arguments

:: Complex Double

first variable

-> Complex Double

second variable

-> Complex Double

third variable

-> Complex Double 

Carlson integral RG.

carlsonRG' Source #

Arguments

:: Double

bound on the relative error passed to CarlsonRD`

-> Complex Double

first variable

-> Complex Double

second variable

-> Complex Double

third variable

-> Complex Double 

Carlson integral RG.