GNU Scientific Library – Reference Manual: Transport Functions

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### 7.30 Transport Functions

The transport functions J(n,x) are defined by the integral representations J(n,x) := \int_0^x dt t^n e^t /(e^t - 1)^2. They are declared in the header file `gsl_sf_transport.h`.

Function: double gsl_sf_transport_2 (double x)
Function: int gsl_sf_transport_2_e (double x, gsl_sf_result * result)

  These routines compute the transport function J(2,x).

Function: double gsl_sf_transport_3 (double x)
Function: int gsl_sf_transport_3_e (double x, gsl_sf_result * result)

  These routines compute the transport function J(3,x).

Function: double gsl_sf_transport_4 (double x)
Function: int gsl_sf_transport_4_e (double x, gsl_sf_result * result)

  These routines compute the transport function J(4,x).

Function: double gsl_sf_transport_5 (double x)
Function: int gsl_sf_transport_5_e (double x, gsl_sf_result * result)

  These routines compute the transport function J(5,x).