Package org.drip.specialfunction.hankel

Class XeeFromSC

java.lang.Object

org.drip.specialfunction.definition.RiccatiBesselXeeEstimator

org.drip.specialfunction.hankel.XeeFromSC

All Implemented Interfaces:

R2ToZ1

public class XeeFromSC
extends RiccatiBesselXeeEstimator

XeeFromSC implements the Estimator for the Riccati-Bessel Xee Function using the Riccati-Bessel C and S 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 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:

• XeeFromSC Constructor
• Retrieve the Riccati-Bessel C Estimator
• Retrieve the Riccati-Bessel S 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
XeeFromSC(RiccatiBesselCEstimator riccatiBesselCEstimator, RiccatiBesselSEstimator riccatiBesselSEstimator)	XeeFromSC Constructor

Method Summary

Modifier and Type	Method	Description
RiccatiBesselCEstimator	riccatiBesselCEstimator()	Retrieve the Riccati-Bessel C Estimator
RiccatiBesselSEstimator	riccatiBesselSEstimator()	Retrieve the Riccati-Bessel S 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

XeeFromSC

public XeeFromSC(RiccatiBesselCEstimator riccatiBesselCEstimator,
RiccatiBesselSEstimator riccatiBesselSEstimator)
          throws java.lang.Exception

XeeFromSC Constructor

Parameters:

riccatiBesselCEstimator - Riccati-Bessel C Estimator

riccatiBesselSEstimator - Riccati-Bessel S Estimator

Throws:

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

Method Details

riccatiBesselCEstimator

public RiccatiBesselCEstimator riccatiBesselCEstimator()

Retrieve the Riccati-Bessel C Estimator

Returns:

The Riccati-Bessel C Estimator

riccatiBesselSEstimator

public RiccatiBesselSEstimator riccatiBesselSEstimator()

Retrieve the Riccati-Bessel S Estimator

Returns:

The Riccati-Bessel S 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