Special Functions

numerics4j provides the means to evaluate several useful functions. These functions were developed to be used internally by numerics4j but, as they may be useful for other uses outside the scope of numerics4j, their implementations are made public for general use. These special functions are broken down into several categories:

CategoryDescription
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 Beta class provides implementations for several functions related to the Beta function:

FunctionClass MethodReference
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 Erf class provides implementations for several functions related to the error function:

FunctionClass MethodReference
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 Gamma class provides implementations for several functions related to the Gamma function:

FunctionClass MethodReference
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 Trigonometric class provides implementations for several functions related to trigonometric functions:
FunctionClass MethodReference
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.
Hyperbolic Cosine cosh
Eric W. Weisstein. "Hyperbolic Cosine."
From MathWorld--A Wolfram Web Resource.
Hyperbolic Sine sinh
Eric W. Weisstein. "Hyperbolic Sine."
From MathWorld--A Wolfram Web Resource.
Hyperbolic Tangent tanh
Eric W. Weisstein. "Hyperbolic Tangent."
From MathWorld--A Wolfram Web Resource.