org.jscience.mathematics.analysis.polynomials
Class SecondKindChebyshevDoublePolynomialFactory

java.lang.Object
  extended by org.jscience.mathematics.analysis.polynomials.OrthogonalDoublePolynomialFactory
      extended by org.jscience.mathematics.analysis.polynomials.JacobiDoublePolynomialFactory
          extended by org.jscience.mathematics.analysis.polynomials.SecondKindChebyshevDoublePolynomialFactory
All Implemented Interfaces:
OrthogonalPolynomialFactory

public final class SecondKindChebyshevDoublePolynomialFactory
extends JacobiDoublePolynomialFactory

This class implements Second Kind Chebyshev polynomials.

Second Kind Chebyshev polynomials can be defined by the following recurrence relations:

  T0(X)   = 1
  T1(X)   = 2X
  2(n+1)(n+2)(2n+1)Tn+1(X) = P(2n+1,3)X Tn(X) - 2(n+1/2)(n+1/2)(2n+3)Tn-1(X)
 

P(x,y) stands for Pochhammer series, see org.jscience.mathematics.series.PochhammerSeries.


Constructor Summary
SecondKindChebyshevDoublePolynomialFactory()
           
 
Method Summary
 
Methods inherited from class org.jscience.mathematics.analysis.polynomials.JacobiDoublePolynomialFactory
getA, getB, getFirstTermsPolynomials, getOrthogonalPolynomial, getRecurrenceCoefficients
 
Methods inherited from class org.jscience.mathematics.analysis.polynomials.OrthogonalDoublePolynomialFactory
getOrthogonalPolynomialCoefficients
 
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
 

Constructor Detail

SecondKindChebyshevDoublePolynomialFactory

public SecondKindChebyshevDoublePolynomialFactory()