Special Functions in .NET (C#, Visual Basic)

ILNumerics offers a range of special functions to extend the computing capability out of the box. Click on the name of a function in order to go to the corresponding API documentation.

Special Functions
Method name	Short description
gamma	Evaluates the Gamma function.
gammaLog	Evaluates the natural logarithm of the Gamma function.
factorial	Calculates the Factorial.
factorialLog	Calculates the natural logarithm of Factorial.
beta	Evaluates the componentwise Beta function.
binomialCoefficients	Calculates the Binomial coefficients.
binomialCoefficientsLog	Calculates the natural logarithm of Binomial coefficients.
gammaIncomplete	Evaluates the lower incomplete Gamma function.
betaIncomplete	Evaluates the incomplete Beta function.
errorFunction	Evaluates the (Gauss) error function.
errorFunctionComplement	Evaluates of the complementary (Gauss) error function.
errorFunctionInverse	Evaluates the inverse of the (Gauss) error function.
logistic	Evaluates the sigmoid logistic function.
logit	Evaluates the inverse of the sigmoid logistic function.
besselJ0	Evaluates the Bessel function of the first kind, integer order 0 of the argument.
besselJ1	Evaluates the Bessel function of the first kind, integer order 1 of the argument.
besselJn	Evaluates the Bessel function of the first kind, integer order n-th of the argument.
besselY0	Evaluates the Bessel function of the second kind, integer order 0 of the argument.
besselY1	Evaluates the Bessel function of the second kind, integer order 1 of the argument.
besselYn	Evaluates the Bessel function of the second kind, integer order n-th of the argument.
besselModifiedI0	Evaluates the modified Bessel function of the first kind, integer order 0 of the argument.
besselModifiedI1	Evaluates the modified Bessel function of the first kind, integer order 1 of the argument.
besselModifiedIn	Evaluates the modified Bessel function of the first kind, integer order n-th of the argument.
besselModifiedK0	Evaluates the modified Bessel function of the second kind, integer order 0 of the argument.
besselModifiedK1	Evaluates the modified Bessel function of the second kind, integer order 1 of the argument.
besselModifiedKn	Evaluates the modified Bessel function of the second kind, integer order n-th of the argument.
diGamma	Computes the Digamma function.