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The functions described in this section are declared in the header file
`gsl_sf_synchrotron.h`.

- Function:
*double***gsl_sf_synchrotron_1***(double*`x`) - Function:
*int***gsl_sf_synchrotron_1_e***(double*`x`, gsl_sf_result *`result`) These routines compute the first synchrotron function

*x \int_x^\infty dt K_{5/3}(t)*for*x >= 0*.

- Function:
*double***gsl_sf_synchrotron_2***(double*`x`) - Function:
*int***gsl_sf_synchrotron_2_e***(double*`x`, gsl_sf_result *`result`) These routines compute the second synchrotron function

*x K_{2/3}(x)*for*x >= 0*.