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Gamma

Log Gamma

Calculates the natural logarithm of the Gamma function with argument \e x.
 double log_gamma (double x)

Stirling

Stirling series approximation of the gamma function
 double stirling (double x)

Psi

Psi (digamma) function
 double psi (double x)

Gamma Simple

A Sterling series approximation of the gamma function.
 double gamma_simple (double x)[inline]

Gamma

Returns gamma function of the argument.
 double gamma (double x, int *sign=NULL)

Gamma Lower Reg

The regularized lower incomplete Gamma integral
 double gammaLower_reg (double a, double x)

Gamma Upper Reg

The regularized upper incomplete Gamma integral
 double gammaUpper_reg (double a, double x)

Beta Reg

The regularized incomplete Beta integral
 double fraction_exp (double x, double a, double b, bool inverse=false) double betaLower_reg_pow (double x, double a, double b) double beta_reg (double x, double a, double b, bool upper = false)

Log Gamma Stirling

Natural Logarithm of Gamma function
 double log_gamma_stirling (double x, int* sign=NULL)

Log Gamma Simple

A Stirling series approximation of the gamma function.
 double logGamma_simple (double x)[inline]

Gamma Rcp

The reciprocal of the gamma function.
 double gamma_rcp (double x)

Log Gamma Frac

Evaluates ln(gamma(b) / gamma(a+b)).
 double logGammaFrac (double a, double b)

Log Gamma Sum

Returns the natural logarithm of the gamma function of the sum of two numbers.
 double logGammaSum (double a, double b)[inline]

Log Beta

Returns the natural logarithm of the complete beta function.
 double logBeta (double a, double b)

Beta Reg Inv

Inverse of the incomplete (regularized) beta integral.
 double df (double x, double a, double b, double logBeta)[inline] double fdx (double dx1, double x, double a, double b)[inline] double beta_reg_inv (double y, double a, double b, bool upper=false, double eps=1e-10) double beta_reg_inv_series (double y, double a, double b, double logBeta)[inline]

Gamma Upper Reg Inv

The inverse of the regularized upper incomplete Gamma integral
 double gammaUpper_reg_inv (double a, double y0)

Trigamma

Evaluates the Trigamma function.
 double trigamma (double x)

Beta

Evaluates the Beta function.
 double beta (double x, double y)