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There are two policies that effect the iterative algorithms used to implement the special functions in this library:

template <unsigned long limit = BOOST_MATH_MAX_SERIES_ITERATION_POLICY> class max_series_iterations; template <unsigned long limit = BOOST_MATH_MAX_ROOT_ITERATION_POLICY> class max_root_iterations;

The class `max_series_iterations`

determines the maximum number of iterations permitted in a series evaluation,
before the special function gives up and returns the result of evaluation_error.

The class `max_root_iterations`

determines the maximum number of iterations permitted in a root-finding
algorithm before the special function gives up and returns the result of
evaluation_error.