Special Functions

Various special functions.

Topics
	The Airy Pattern
	Bessel Functions
	The Exponentially Modified Gaussian Distribution
	The Gamma Function
	The Gamma Distribution
	The Gaussian Function
	The Logistic Function
	Machine Precision
	The Moffat Function
	The Weibull Distribution

Functions
template<typename T>
T	mx::math::func::factorial (T x)
	The factorial function.
template<typename T>
T	mx::math::func::legendre_p (int n, T x)
	Legendre Polynomials.
template<typename T>
T	mx::math::func::sign (T x)
	The sign function.

Function Documentation

factorial()

template<typename T>

T mx::math::func::factorial

(

T

x

)

The factorial function.

Parameters

[in]

x

the argument

Definition at line 48 of file factorial.hpp.

Referenced by mx::sigproc::zernikeRCoeffs().

legendre_p()

template<typename T>

T mx::math::func::legendre_p	(	int	n,
		T	x )

Legendre Polynomials.

See https://en.wikipedia.org/wiki/Legendre_polynomials and https://www.boost.org/doc/libs/1_75_0/libs/math/doc/html/math_toolkit/sf_poly/legendre.html

Returns

the value of the n-th Legendre polynomial at x.

Parameters

[in]	n	the order of the Legendre polynomial, n>=0.
[in]	x	the argument, -1 <= x <= 1.

Definition at line 52 of file legendre.hpp.

Referenced by orthoNormalLegendre().

sign()

template<typename T>

T mx::math::func::sign

(

T

x

)

The sign function.

Parameters

[in]

x

the argument

Definition at line 29 of file sign.hpp.

Referenced by mx::sigproc::noll_nm().