Bessel

java.lang.Object
- cern.jet.math.Constants
- - cern.jet.math.Bessel

```
public class Bessel
extends Constants
```
Bessel and Airy functions.

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method and Description
`static double`	`i0(double x)` Returns the modified Bessel function of order 0 of the argument.
`static double`	`i0e(double x)` Returns the exponentially scaled modified Bessel function of order 0 of the argument.
`static double`	`i1(double x)` Returns the modified Bessel function of order 1 of the argument.
`static double`	`i1e(double x)` Returns the exponentially scaled modified Bessel function of order 1 of the argument.
`static double`	`j0(double x)` Returns the Bessel function of the first kind of order 0 of the argument.
`static double`	`j1(double x)` Returns the Bessel function of the first kind of order 1 of the argument.
`static double`	`jn(int n, double x)` Returns the Bessel function of the first kind of order `n` of the argument.
`static double`	`k0(double x)` Returns the modified Bessel function of the third kind of order 0 of the argument.
`static double`	`k0e(double x)` Returns the exponentially scaled modified Bessel function of the third kind of order 0 of the argument.
`static double`	`k1(double x)` Returns the modified Bessel function of the third kind of order 1 of the argument.
`static double`	`k1e(double x)` Returns the exponentially scaled modified Bessel function of the third kind of order 1 of the argument.
`static double`	`kn(int nn, double x)` Returns the modified Bessel function of the third kind of order `nn` of the argument.
`static double`	`y0(double x)` Returns the Bessel function of the second kind of order 0 of the argument.
`static double`	`y1(double x)` Returns the Bessel function of the second kind of order 1 of the argument.
`static double`	`yn(int n, double x)` Returns the Bessel function of the second kind of order `n` of the argument.

Methods inherited from class java.lang.Object
equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Method Detail
  - i0
```
public static double i0(double x)
                 throws ArithmeticException
```
    Returns the modified Bessel function of order 0 of the argument.
    The function is defined as i0(x) = j0( ix ).
    The range is partitioned into the two intervals [0,8] and (8, infinity). Chebyshev polynomial expansions are employed in each interval.
    
    Parameters:
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException
  - i0e
```
public static double i0e(double x)
                  throws ArithmeticException
```
    Returns the exponentially scaled modified Bessel function of order 0 of the argument.
    The function is defined as i0e(x) = exp(-|x|) j0( ix ).
    
    Parameters:
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException
  - i1
```
public static double i1(double x)
                 throws ArithmeticException
```
    Returns the modified Bessel function of order 1 of the argument.
    The function is defined as i1(x) = -i j1( ix ).
    The range is partitioned into the two intervals [0,8] and (8, infinity). Chebyshev polynomial expansions are employed in each interval.
    
    Parameters:
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException
  - i1e
```
public static double i1e(double x)
                  throws ArithmeticException
```
    Returns the exponentially scaled modified Bessel function of order 1 of the argument.
    The function is defined as i1(x) = -i exp(-|x|) j1( ix ).
    
    Parameters:
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException
  - j0
```
public static double j0(double x)
                 throws ArithmeticException
```
    Returns the Bessel function of the first kind of order 0 of the argument.
    
    Parameters:
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException
  - j1
```
public static double j1(double x)
                 throws ArithmeticException
```
    Returns the Bessel function of the first kind of order 1 of the argument.
    
    Parameters:
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException
  - jn
```
public static double jn(int n,
                        double x)
                 throws ArithmeticException
```
    Returns the Bessel function of the first kind of order n of the argument.
    
    Parameters:
    
    n - the order of the Bessel function.
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException
  - k0
```
public static double k0(double x)
                 throws ArithmeticException
```
    Returns the modified Bessel function of the third kind of order 0 of the argument.
    The range is partitioned into the two intervals [0,8] and (8, infinity). Chebyshev polynomial expansions are employed in each interval.
    
    Parameters:
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException
  - k0e
```
public static double k0e(double x)
                  throws ArithmeticException
```
    Returns the exponentially scaled modified Bessel function of the third kind of order 0 of the argument.
    
    Parameters:
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException
  - k1
```
public static double k1(double x)
                 throws ArithmeticException
```
    Returns the modified Bessel function of the third kind of order 1 of the argument.
    The range is partitioned into the two intervals [0,2] and (2, infinity). Chebyshev polynomial expansions are employed in each interval.
    
    Parameters:
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException
  - k1e
```
public static double k1e(double x)
                  throws ArithmeticException
```
    Returns the exponentially scaled modified Bessel function of the third kind of order 1 of the argument.
    k1e(x) = exp(x) * k1(x).
    
    Parameters:
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException
  - kn
```
public static double kn(int nn,
                        double x)
                 throws ArithmeticException
```
    Returns the modified Bessel function of the third kind of order nn of the argument.
    The range is partitioned into the two intervals [0,9.55] and (9.55, infinity). An ascending power series is used in the low range, and an asymptotic expansion in the high range.
    
    Parameters:
    
    nn - the order of the Bessel function.
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException
  - y0
```
public static double y0(double x)
                 throws ArithmeticException
```
    Returns the Bessel function of the second kind of order 0 of the argument.
    
    Parameters:
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException
  - y1
```
public static double y1(double x)
                 throws ArithmeticException
```
    Returns the Bessel function of the second kind of order 1 of the argument.
    
    Parameters:
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException
  - yn
```
public static double yn(int n,
                        double x)
                 throws ArithmeticException
```
    Returns the Bessel function of the second kind of order n of the argument.
    
    Parameters:
    
    n - the order of the Bessel function.
    
    x - the value to compute the bessel function of.
    
    Throws:
    
    ArithmeticException

Class Bessel

Method Summary

Methods inherited from class java.lang.Object

Method Detail

i0

i0e

i1

i1e

j0

j1

jn

k0

k0e

k1

k1e

kn

y0

y1

yn