Package org.drip.specialfunction.definition

Class HankelSecondKindEstimator

java.lang.Object
org.drip.specialfunction.definition.HankelSecondKindEstimator
All Implemented Interfaces:
R2ToZ1
Direct Known Subclasses:
BigH2FromBigJ
public abstract class HankelSecondKindEstimator
extends java.lang.Object
implements R2ToZ1
HankelSecondKindEstimator exposes the Estimator for the Hankel 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:
  • Construct the Large z Asymptotic Form of Hankel Second Kind Estimator
  • Evaluate Hankel Function Second Kind H2 given Alpha and z

Module Product Core Module
Library Fixed Income Analytics
Project Special Function Implementation and Analysis
Package Definition of Special Function Estimators
Author:
Lakshmi Krishnamurthy

  • Constructor Summary

    Constructors
    Constructor Description
    HankelSecondKindEstimator()  

  • Method Summary

    Modifier and Type Method Description
    abstract C1Cartesian bigH2​(double alpha, double z)
    Evaluate Hankel Function Second Kind H2 given Alpha and z
    C1Cartesian evaluate​(double alpha, double z)
    Evaluate for the given variate Pair
    static HankelSecondKindEstimator LargeZAsymptote()
    Construct the Large z Asymptotic Form of Hankel Second Kind Estimator

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • HankelSecondKindEstimator

      public HankelSecondKindEstimator()

  • Method Details

    • LargeZAsymptote

      public static final HankelSecondKindEstimator LargeZAsymptote()
      Construct the Large z Asymptotic Form of Hankel Second Kind Estimator
      Returns:
      Large z Asymptotic Form of Hankel Second Kind Estimator

    • bigH2

      public abstract C1Cartesian bigH2​(double alpha, double z)
      Evaluate Hankel Function Second Kind H2 given Alpha and z
      Parameters:
      alpha - Alpha
      z - Z
      Returns:
      Hankel Function Second Kind H2 Value

    • evaluate

      public C1Cartesian evaluate​(double alpha, double z)
      Description copied from interface: R2ToZ1
      Evaluate for the given variate Pair
      Specified by:
      evaluate in interface R2ToZ1
      Parameters:
      alpha - X
      z - Y
      Returns:
      Returns the Calculated Complex Value