Package org.drip.specialfunction.bessel

Class SphericalSecondEstimator

java.lang.Object
org.drip.specialfunction.definition.SphericalBesselSecondKindEstimator
org.drip.specialfunction.bessel.SphericalSecondEstimator
All Implemented Interfaces:
R2ToR1
public class SphericalSecondEstimator
extends SphericalBesselSecondKindEstimator
SphericalSecondEstimator implements the Integral Estimator for the Spherical Bessel Function of the Second Kind. The References are:

  • Abramowitz, M., and I. A. Stegun (2007): Handbook of Mathematics Functions Dover Book on Mathematics
  • Arfken, G. B., and H. J. Weber (2005): Mathematical Methods for Physicists 6th Edition Harcourt San Diego
  • Temme N. M. (1996): Special Functions: An Introduction to the Classical Functions of Mathematical Physics 2nd Edition Wiley New York
  • Watson, G. N. (1995): A Treatise on the Theory of Bessel Functions Cambridge University Press
  • Wikipedia (2019): Bessel Function https://en.wikipedia.org/wiki/Bessel_function
It provides the following functionality:
  • Retrieve the Order 0 Spherical Bessel Second Kind Estimator
  • Retrieve the Order +2 Spherical Bessel Second Kind Estimator
  • Retrieve the Order +3 Spherical Bessel Second Kind Estimator
  • SphericalSecondEstimator Constructor
  • Retrieve the Bessel Function Second Kind Estimator

Module Product Core Module
Library Fixed Income Analytics
Project Special Function Implementation and Analysis
Package Ordered Bessel Function Variant Estimators
Author:
Lakshmi Krishnamurthy

  • Constructor Details

    • SphericalSecondEstimator

      public SphericalSecondEstimator​(BesselSecondKindEstimator besselSecondKindEstimator) throws java.lang.Exception
      SphericalSecondEstimator Constructor
      Parameters:
      besselSecondKindEstimator - Bessel Function Second Kind Estimator
      Throws:
      java.lang.Exception - Thrown if Inputs are Invalid

  • Method Details

    • OrderZero

      public static final SphericalBesselSecondKindEstimator OrderZero()
      Retrieve the Order 0 Spherical Bessel Second Kind Estimator
      Returns:
      The Order 0 Spherical Bessel Second Kind Estimator

    • OrderPlusOne

      public static final SphericalBesselSecondKindEstimator OrderPlusOne()
      Retrieve the Order +1 Spherical Bessel Second Kind Estimator
      Returns:
      The Order +1 Spherical Bessel Second Kind Estimator

    • OrderPlusTwo

      public static final SphericalBesselSecondKindEstimator OrderPlusTwo()
      Retrieve the Order +2 Spherical Bessel Second Kind Estimator
      Returns:
      The Order +2 Spherical Bessel Second Kind Estimator

    • OrderPlusThree

      public static final SphericalBesselSecondKindEstimator OrderPlusThree()
      Retrieve the Order +3 Spherical Bessel Second Kind Estimator
      Returns:
      The Order +3 Spherical Bessel Second Kind Estimator

    • smallY

      public double smallY​(double alpha, double z) throws java.lang.Exception
      Description copied from class: SphericalBesselSecondKindEstimator
      Evaluate Spherical Bessel Function Second Kind y given Alpha and z
      Specified by:
      smallY in class SphericalBesselSecondKindEstimator
      Parameters:
      alpha - Alpha
      z - Z
      Returns:
      Spherical Bessel Function Second Kind y Value
      Throws:
      java.lang.Exception - Thrown if the Inputs are Invalid

    • besselSecondKindEstimator

      public BesselSecondKindEstimator besselSecondKindEstimator()
      Retrieve the Bessel Function Second Kind Estimator
      Returns:
      Bessel Function Second Kind Estimator