Package org.drip.specialfunction.hankel

Class XeeFromSmallH1

java.lang.Object

org.drip.specialfunction.definition.RiccatiBesselXeeEstimator

org.drip.specialfunction.hankel.XeeFromSmallH1

All Implemented Interfaces:

R2ToZ1

public class XeeFromSmallH1
extends RiccatiBesselXeeEstimator

XeeFromSmallH1 implements the Estimator for the Riccati-Bessel Xee Function using the Spherical 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 6^th Edition Harcourt San Diego
• Temme N. M. (1996): Special Functions: An Introduction to the Classical Functions of Mathematical Physics 2^nd 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:

• XeeFromSmallH1 Constructor
• Retrieve the Spherical 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
XeeFromSmallH1(SphericalHankelFirstKindEstimator sphericalHankelFirstKindEstimator)	XeeFromSmallH1 Constructor

Method Summary

Modifier and Type	Method	Description
SphericalHankelFirstKindEstimator	sphericalHankelFirstKindEstimator()	Retrieve the Spherical Hankel First Kind Estimator
CartesianComplexNumber	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

XeeFromSmallH1

public XeeFromSmallH1(SphericalHankelFirstKindEstimator sphericalHankelFirstKindEstimator)
               throws java.lang.Exception

XeeFromSmallH1 Constructor

Parameters:

sphericalHankelFirstKindEstimator - Spherical Hankel First Kind Estimator

Throws:

java.lang.Exception - Thrown if the Inputs are Invalid

Method Details

sphericalHankelFirstKindEstimator

public SphericalHankelFirstKindEstimator sphericalHankelFirstKindEstimator()

Retrieve the Spherical Hankel First Kind Estimator

Returns:

The Spherical Hankel First Kind Estimator

xee

public CartesianComplexNumber 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