Catalano.Math.Functions

Class Bessel

java.lang.Object

Catalano.Math.Functions.Bessel

public final class Bessel
extends java.lang.Object

Bessel functions. Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are the canonical solutions y(x) of Bessel's differential equation.

Method Summary

Modifier and Type	Method and Description
static double	I(double x) Bessel function of the first kind, of order 1.
static double	I(int n, double x) Bessel function of the first kind, of order n.
static double	I0(double x) Bessel function of the first kind, of order 0.
static double	J(double x) Bessel function of order 1.
static double	J(int n, double x) Bessel function of order n.
static double	J0(double x) Bessel function of order 0.
static double	Y(double x) Bessel function of the second kind, of order 1.
static double	Y(int n, double x) Bessel function of the second kind, of order n.
static double	Y0(double x) Bessel function of the second kind, of order 0.

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

J0

public static double J0(double x)

Bessel function of order 0.

Parameters:

x - Value.

Returns:

J0 value.

J

public static double J(double x)

Bessel function of order 1.

Parameters:

x - Value.

Returns:

J value.

J

public static double J(int n,
                       double x)

Bessel function of order n.

Parameters:

n - Order.

x - Value.

Returns:

J value.

Y0

public static double Y0(double x)

Bessel function of the second kind, of order 0.

Parameters:

x - Value.

Returns:

Y0 value.

Y

public static double Y(double x)

Bessel function of the second kind, of order 1.

Parameters:

x - Value.

Returns:

Y value.

Y

public static double Y(int n,
                       double x)

Bessel function of the second kind, of order n.

Parameters:

n - Order.

x - Value.

Returns:

Y value.

I0

public static double I0(double x)

Bessel function of the first kind, of order 0.

Parameters:

x - Value.

Returns:

I0 value.

I

public static double I(double x)

Bessel function of the first kind, of order 1.

Parameters:

x - Value.

Returns:

I value.

I

public static double I(int n,
                       double x)

Bessel function of the first kind, of order n.

Parameters:

n - Order.

x - Value.

Returns:

I value.