Class bessel_K_exp_integ_tl (o2scl)

O2scl : Class List

template<class inte_t, class fp_t = double>
class o2scl::bessel_K_exp_integ_tl

Exponentially scaled modified Bessel function of the second kind by integration.

This class uses an integral representation of the exponentially scaled modified Bessel function of the second kind

\[ K_n(z) e^{z} = \frac{\sqrt{\pi} z^{n}}{2^{n} \Gamma(n+1/2)} \int_1^{\infty} e^{z(1-t)} \left(t^2-1\right)^{n-1/2}~dt \]
(see http://functions.wolfram.com/Bessel-TypeFunctions/BesselK/07/01/01/)

Public Functions

void calc_err(size_t n, fp_t z, fp_t &res, fp_t &err)

Compute the integral, storing the result in res and the error in err.

Public Members

inte_t iiu

The integrator.

Protected Types

typedef std::function<fp_t(fp_t)> func_t

Internal function type.

Protected Functions

fp_t obj_func(fp_t t, size_t n, fp_t z)

The exponentially scaled modified Bessel integrand.