signal.lib
Class gegenbauerPolynomial

java.lang.Object
  |
  +--signal.lib.gegenbauerPolynomial

public final class gegenbauerPolynomial

extends java.lang.Object

The gegenbauerPolynomial class calculates the Gegenbauer (Ultraspherical) Polynomial of degree (L,m).

See Also:

"Orthogonal Polynomials, AMS Colloquium Publications, vol. 23, p. 80."

Constructor Summary

gegenbauerPolynomial()

Method Summary

static double	gegenPoly(int k, double LAMDA, double x) Three term recurrence relation.
static double	h(int m, double L) Normalization Factor.
static double	km(int m, double L) Christoffel-Darboux formula.
static double	tx(double a, double b, double x) Maps [a,b] to [-1,1].

Methods inherited from class java.lang.Object

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

Constructor Detail

gegenbauerPolynomial

public gegenbauerPolynomial()

Method Detail

tx

public static double tx(double a,
                        double b,
                        double x)

Maps [a,b] to [-1,1].

gegenPoly

public static final double gegenPoly(int k,
                                     double LAMDA,
                                     double x)

Three term recurrence relation.

h

public static final double h(int m,
                             double L)

Normalization Factor.

km

public static double km(int m,
                        double L)

Christoffel-Darboux formula.