Special Functions
numerics4net provides the means to evaluate several useful functions. These functions were developed to be used internally by numerics4net but, as they may be useful for other uses outside the scope of numerics4net, their implementations are made public for general use. These special functions are broken down into several categories:
| Category | Description |
|---|---|
| Beta | Contains several useful functions involving the Beta function. |
| Error Function | Contains several useful functions involving the Error function. |
| Gamma | Contains several useful functions involving the Gamma function. |
| Trigometric | Contains several functions related to trigonometric functions. |
Beta
The numerics4net.special.Beta class provides implementations for several functions related to the Beta function:
| Function | Class Method | Reference |
|---|---|---|
| Log Beta | LogBeta |
Eric W. Weisstein. "Beta Function."
From MathWorld--A Wolfram Web Resource.
|
| Regularized Beta | RegularizedBeta |
Eric W. Weisstein. "Regularized Beta Function."
From MathWorld--A Wolfram Web Resource.
|
Error Function
The numerics4net.special.ErrorFunction class provides implementations for several functions related to the error function:
| Function | Class Method | Reference |
|---|---|---|
| Complementary Error Function | Erfc |
Eric W. Weisstein. "Erfc."
From MathWorld--A Wolfram Web Resource.
|
| Error Function | Erf |
Eric W. Weisstein. "Erf."
From MathWorld--A Wolfram Web Resource.
|
| Inverse Error Function | InverseErf |
Eric W. Weisstein. "Erf."
From MathWorld--A Wolfram Web Resource.
|
Gamma
The numerics4net.special.Gamma class provides implementations for several functions related to the Gamma function:
| Function | Class Method | Reference |
|---|---|---|
| Log Gamma | LogGamma |
Eric W. Weisstein. "Gamma Function."
From MathWorld--A Wolfram Web Resource.
|
| Regularized Gamma |
Eric W. Weisstein. "Regularized Gamma Function."
From MathWorld--A Wolfram Web Resource.
|
Trigometric
The numerics4net.special.Trigonometric class provides implementations for several functions related to trigonometric functions:| Function | Class Method | Reference |
|---|---|---|
| Inverse Hyperbolic Cosine | Acosh |
Eric W. Weisstein. "Inverse Hyperbolic Cosine."
From MathWorld--A Wolfram Web Resource.
|
| Inverse Hyperbolic Sine | Asinh |
Eric W. Weisstein. "Inverse Hyperbolic Sine."
From MathWorld--A Wolfram Web Resource.
|
| Inverse Hyperbolic Tangent | Atanh |
Eric W. Weisstein. "Inverse Hyperbolic Tangent."
From MathWorld--A Wolfram Web Resource.
|