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MathsSpecial

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)
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Psi

Psi (digamma) function
double psi (double x)
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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)
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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)
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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]
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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)
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