Package org.drip.specialfunction.bessel

Class SphericalFirstEstimator

java.lang.Object
org.drip.specialfunction.definition.SphericalBesselFirstKindEstimator
org.drip.specialfunction.bessel.SphericalFirstEstimator
All Implemented Interfaces:
R2ToR1
public class SphericalFirstEstimator
extends SphericalBesselFirstKindEstimator
SphericalFirstEstimator implements the Integral Estimator for the Spherical Bessel Function of the First 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 First Kind Estimator
  • Retrieve the Order -1 Spherical Bessel First Kind Estimator
  • Retrieve the Order +1 Spherical Bessel First Kind Estimator
  • Retrieve the Order -1 Spherical Bessel First Kind Estimator
  • Retrieve the Order +2 Spherical Bessel First Kind Estimator
  • Retrieve the Order -2 Spherical Bessel First Kind Estimator
  • Retrieve the Order +3 Spherical Bessel First Kind Estimator
  • Retrieve the Order -3 Spherical Bessel First Kind Estimator
  • Retrieve the Order -4 Spherical Bessel First Kind Estimator
  • SphericalFirstEstimator Constructor
  • Retrieve the Bessel Function First 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

    • SphericalFirstEstimator

      public SphericalFirstEstimator​(BesselFirstKindEstimator besselFirstKindEstimator) throws java.lang.Exception
      SphericalFirstEstimator Constructor
      Parameters:
      besselFirstKindEstimator - Bessel Function First Kind Estimator
      Throws:
      java.lang.Exception - Thrown if Inputs are Invalid

  • Method Details

    • OrderZero

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

    • OrderPlusOne

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

    • OrderMinusOne

      public static final SphericalBesselFirstKindEstimator OrderMinusOne()
      Retrieve the Order -1 Spherical Bessel First Kind Estimator
      Returns:
      The Order -1 Spherical Bessel First Kind Estimator

    • OrderPlusTwo

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

    • OrderMinusTwo

      public static final SphericalBesselFirstKindEstimator OrderMinusTwo()
      Retrieve the Order -2 Spherical Bessel First Kind Estimator
      Returns:
      The Order -2 Spherical Bessel First Kind Estimator

    • OrderPlusThree

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

    • OrderMinusThree

      public static final SphericalBesselFirstKindEstimator OrderMinusThree()
      Retrieve the Order -3 Spherical Bessel First Kind Estimator
      Returns:
      The Order -3 Spherical Bessel First Kind Estimator

    • OrderMinusFour

      public static final SphericalBesselFirstKindEstimator OrderMinusFour()
      Retrieve the Order -4 Spherical Bessel First Kind Estimator
      Returns:
      The Order -4 Spherical Bessel First Kind Estimator

    • smallJ

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

    • besselFirstKindEstimator

      public BesselFirstKindEstimator besselFirstKindEstimator()
      Retrieve the Bessel Function First Kind Estimator
      Returns:
      Bessel Function First Kind Estimator