Package org.drip.specialfunction.bessel

Class HankelAsymptoteSeriesTerm

java.lang.Object
org.drip.numerical.estimation.R2ToR1SeriesTerm
org.drip.specialfunction.bessel.HankelAsymptoteSeriesTerm
public class HankelAsymptoteSeriesTerm
extends R2ToR1SeriesTerm
HankelAsymptoteSeriesTerm implements the Large z Asymptotic Series Term used for Modified Bessel Functions. 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:
  • HankelAsymptoteSeriesTerm Constructor
  • Odd/Even Term Sign Flip

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

  • Constructor Summary

    Constructors
    Constructor Description
    HankelAsymptoteSeriesTerm​(boolean flip)
    HankelAsymptoteSeriesTerm Constructor

  • Method Summary

    Modifier and Type Method Description
    boolean flip()
    Odd/Even Term Sign Flip
    double value​(int order, double alpha, double z)
    Compute the Value of the R2 To R1 Series Expansion Term

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • HankelAsymptoteSeriesTerm

      public HankelAsymptoteSeriesTerm​(boolean flip)
      HankelAsymptoteSeriesTerm Constructor
      Parameters:
      flip - TRUE - Apply the Odd/Even Term Sign Flip

  • Method Details

    • flip

      public boolean flip()
      Odd/Even Term Sign Flip
      Returns:
      TRUE - Apply the Odd/Even Term Sign Flip

    • value

      public double value​(int order, double alpha, double z) throws java.lang.Exception
      Description copied from class: R2ToR1SeriesTerm
      Compute the Value of the R2 To R1 Series Expansion Term
      Specified by:
      value in class R2ToR1SeriesTerm
      Parameters:
      order - Order of the R2 To R1 Series Expansion Term
      alpha - X
      z - Y
      Returns:
      The Value of the R2 To R1 Series Expansion Term
      Throws:
      java.lang.Exception - Thrown if the Inputs are Invalid