Package org.drip.specialfunction.hankel

Class XeeFromBigH1

java.lang.Object
org.drip.specialfunction.definition.RiccatiBesselXeeEstimator
org.drip.specialfunction.hankel.XeeFromBigH1
All Implemented Interfaces:
R2ToZ1
public class XeeFromBigH1
extends RiccatiBesselXeeEstimator
XeeFromBigH1 implements the Estimator for the Riccati-Bessel Xee Function using the Hankel 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:
  • XeeFromBigH1 Constructor
  • Retrieve the Hankel First Kind Estimator

Module Computational Core Module
Library Function Analysis Library
Project Special Function Implementation and Analysis
Package Ordered Hankel Function Variant Estimators
Author:
Lakshmi Krishnamurthy

  • Constructor Summary

    Constructors
    Constructor Description
    XeeFromBigH1​(HankelFirstKindEstimator hankelFirstKindEstimator)
    XeeFromBigH1 Constructor

  • Method Summary

    Modifier and Type Method Description
    HankelFirstKindEstimator hankelFirstKindEstimator()
    Retrieve the Hankel First Kind Estimator
    C1Cartesian xee​(double alpha, double z)
    Evaluate Riccati-Bessel Xee Estimate given Alpha and z

    Methods inherited from class org.drip.specialfunction.definition.RiccatiBesselXeeEstimator

    evaluate

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • XeeFromBigH1

      public XeeFromBigH1​(HankelFirstKindEstimator hankelFirstKindEstimator) throws java.lang.Exception
      XeeFromBigH1 Constructor
      Parameters:
      hankelFirstKindEstimator - Hankel First Kind Estimator
      Throws:
      java.lang.Exception - Thrown if the Inputs are Invalid

  • Method Details

    • hankelFirstKindEstimator

      public HankelFirstKindEstimator hankelFirstKindEstimator()
      Retrieve the Hankel First Kind Estimator
      Returns:
      The Hankel First Kind Estimator

    • xee

      public C1Cartesian xee​(double alpha, double z)
      Description copied from class: RiccatiBesselXeeEstimator
      Evaluate Riccati-Bessel Xee Estimate given Alpha and z
      Specified by:
      xee in class RiccatiBesselXeeEstimator
      Parameters:
      alpha - Alpha
      z - Z
      Returns:
      Riccati-Bessel Xee Estimate