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+@cindex transport functions
+
+The transport functions @math{J(n,x)} are defined by the integral
+representations
+@c{$J(n,x) := \int_0^x dt \, t^n e^t /(e^t - 1)^2$}
+@math{J(n,x) := \int_0^x dt t^n e^t /(e^t - 1)^2}.
+They are declared in the header file @file{gsl_sf_transport.h}.
+
+@deftypefun double gsl_sf_transport_2 (double @var{x})
+@deftypefunx int gsl_sf_transport_2_e (double @var{x}, gsl_sf_result * @var{result})
+These routines compute the transport function @math{J(2,x)}.
+@comment Exceptional Return Values: GSL_EDOM
+@end deftypefun
+
+
+@deftypefun double gsl_sf_transport_3 (double @var{x})
+@deftypefunx int gsl_sf_transport_3_e (double @var{x}, gsl_sf_result * @var{result})
+These routines compute the transport function @math{J(3,x)}.
+@comment Exceptional Return Values: GSL_EDOM, GSL_EUNDRFLW
+@end deftypefun
+
+
+@deftypefun double gsl_sf_transport_4 (double @var{x})
+@deftypefunx int gsl_sf_transport_4_e (double @var{x}, gsl_sf_result * @var{result})
+These routines compute the transport function @math{J(4,x)}.
+@comment Exceptional Return Values: GSL_EDOM, GSL_EUNDRFLW
+@end deftypefun
+
+
+@deftypefun double gsl_sf_transport_5 (double @var{x})
+@deftypefunx int gsl_sf_transport_5_e (double @var{x}, gsl_sf_result * @var{result})
+These routines compute the transport function @math{J(5,x)}.
+@comment Exceptional Return Values: GSL_EDOM, GSL_EUNDRFLW
+@end deftypefun