3 #include "AnimaSpecialFunctionsExport.h" 12 ANIMASPECIALFUNCTIONS_EXPORT
double log_bessel_i(
unsigned int N,
double x);
18 ANIMASPECIALFUNCTIONS_EXPORT
double bessel_ratio_i(
double x,
unsigned int N,
unsigned int approx_order = 10);
33 ANIMASPECIALFUNCTIONS_EXPORT
double a0r_support(
double x,
unsigned int N);
36 ANIMASPECIALFUNCTIONS_EXPORT
double ak_support(
double x,
unsigned int N,
unsigned int k);
double ak_support(double x, unsigned int N, unsigned int k)
Support function for besserl_ratio_i.
double bessel_ratio_i_derivative_approx(double x, unsigned int N)
Computes fast and accurate approximation of the derivative of the ratio of modified Bessel functions ...
double log_bessel_i_lower_bound(unsigned int N, double x)
Computes a lower bound of the log of modified Bessel function of the first kind: I_{N} (N >= 0) ...
double bessel_ratio_i(double x, unsigned int N, unsigned int approx_order)
Computes the ratio of modified Bessel functions of the first kind: I_{N} / I_{N-1} (N >= 1) ...
double bessel_ratio_i_lower_bound(double x, unsigned int N)
Computes a lower bound of the ratio of modified Bessel functions of the first kind: I_{N} / I_{N-1} (...
double log_bessel_i(unsigned int N, double x)
Computes the log of modified Bessel function of the first kind: I_{N} (N >= 0)
double a0r_support(double x, unsigned int N)
Support function for besserl_ratio_i.
double log_bessel_order_derivative_i(double x, unsigned int order, double emc, unsigned int approx_order)
Computes the derivative of the log of modified Bessel function of the first kind w.r.t. its order (emc is the Euler-Mascheroni constant)
double bessel_i_lower_bound(unsigned int N, double x)
Computes a lower bound of the modified Bessel function of the first kind: I_{N} (N >= 0) ...
double bessel_ratio_i_derivative(double x, unsigned int N, unsigned int approx_order)
Computes the derivative of the ratio of modified Bessel functions of the first kind: d/dx( I_{N}(x) /...