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+@cindex synchrotron functions
+
+The functions described in this section are declared in the header file
+@file{gsl_sf_synchrotron.h}.
+
+@deftypefun double gsl_sf_synchrotron_1 (double @var{x})
+@deftypefunx int gsl_sf_synchrotron_1_e (double @var{x}, gsl_sf_result * @var{result})
+These routines compute the first synchrotron function
+@c{$x \int_x^\infty dt K_{5/3}(t)$}
+@math{x \int_x^\infty dt K_@{5/3@}(t)} for @c{$x \ge 0$}
+@math{x >= 0}.
+@comment Domain: x >= 0.0
+@comment Exceptional Return Values: GSL_EDOM, GSL_EUNDRFLW
+@end deftypefun
+
+@deftypefun double gsl_sf_synchrotron_2 (double @var{x})
+@deftypefunx int gsl_sf_synchrotron_2_e (double @var{x}, gsl_sf_result * @var{result})
+These routines compute the second synchrotron function
+@c{$x K_{2/3}(x)$}
+@math{x K_@{2/3@}(x)} for @c{$x \ge 0$}
+@math{x >= 0}.
+@comment Domain: x >= 0.0
+@comment Exceptional Return Values: GSL_EDOM, GSL_EUNDRFLW
+@end deftypefun